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Finding the Fourth Proportional to 78,345,344.30, 109,796,856.10 and 78,345,344.30

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Solution

The fourth proportional to 78,345,344.30, 109,796,856.10 and 78,345,344.30 is: 109,796,856.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,345,344.30 : 109,796,856.10 = 78,345,344.30 : x
  2. Step 2: Convert to fraction form
    78,345,344.30/109,796,856.10 = 78,345,344.30/x
  3. Step 3: Cross multiply
    78,345,344.30x = 109,796,856.10 × 78,345,344.30
  4. Step 4: Simplify right side
    78,345,344.30x = 8,602,072,494,212,054
  5. Step 5: Solve for x
    x = 8,602,072,494,212,054/78,345,344.30
  6. Step 6: Final answer
    x = 109,796,856.10

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.