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Finding the Fourth Proportional to 102,156.49, 153,266.06 and 52,272.06

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Solution

The fourth proportional to 102,156.49, 153,266.06 and 52,272.06 is: 78,424.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,156.49 : 153,266.06 = 52,272.06 : x
  2. Step 2: Convert to fraction form
    102,156.49/153,266.06 = 52,272.06/x
  3. Step 3: Cross multiply
    102,156.49x = 153,266.06 × 52,272.06
  4. Step 4: Simplify right side
    102,156.49x = 8,011,532,684.28
  5. Step 5: Solve for x
    x = 8,011,532,684.28/102,156.49
  6. Step 6: Final answer
    x = 78,424.12

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.