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Finding the Fourth Proportional to 100,572.10, 138,769.85 and 57,564.74

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Solution

The fourth proportional to 100,572.10, 138,769.85 and 57,564.74 is: 79,428.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,572.10 : 138,769.85 = 57,564.74 : x
  2. Step 2: Convert to fraction form
    100,572.10/138,769.85 = 57,564.74/x
  3. Step 3: Cross multiply
    100,572.10x = 138,769.85 × 57,564.74
  4. Step 4: Simplify right side
    100,572.10x = 7,988,250,479.00
  5. Step 5: Solve for x
    x = 7,988,250,479.00/100,572.10
  6. Step 6: Final answer
    x = 79,428.10

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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.