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Finding the Fourth Proportional to 102,959.40, 142,100.10 and 74,654.76

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Solution

The fourth proportional to 102,959.40, 142,100.10 and 74,654.76 is: 103,035.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,959.40 : 142,100.10 = 74,654.76 : x
  2. Step 2: Convert to fraction form
    102,959.40/142,100.10 = 74,654.76/x
  3. Step 3: Cross multiply
    102,959.40x = 142,100.10 × 74,654.76
  4. Step 4: Simplify right side
    102,959.40x = 10,608,448,861.48
  5. Step 5: Solve for x
    x = 10,608,448,861.48/102,959.40
  6. Step 6: Final answer
    x = 103,035.26

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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.