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Finding the Fourth Proportional to 78,630.14, 108,511.56 and 42,822.14

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Solution

The fourth proportional to 78,630.14, 108,511.56 and 42,822.14 is: 59,095.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,630.14 : 108,511.56 = 42,822.14 : x
  2. Step 2: Convert to fraction form
    78,630.14/108,511.56 = 42,822.14/x
  3. Step 3: Cross multiply
    78,630.14x = 108,511.56 × 42,822.14
  4. Step 4: Simplify right side
    78,630.14x = 4,646,697,213.94
  5. Step 5: Solve for x
    x = 4,646,697,213.94/78,630.14
  6. Step 6: Final answer
    x = 59,095.62

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.