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Finding the Fourth Proportional to 62,258, 85,916.04 and 39,902

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Solution

The fourth proportional to 62,258, 85,916.04 and 39,902 is: 55,064.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    62,258 : 85,916.04 = 39,902 : x
  2. Step 2: Convert to fraction form
    62,258/85,916.04 = 39,902/x
  3. Step 3: Cross multiply
    62,258x = 85,916.04 × 39,902
  4. Step 4: Simplify right side
    62,258x = 3,428,221,828.08
  5. Step 5: Solve for x
    x = 3,428,221,828.08/62,258
  6. Step 6: Final answer
    x = 55,064.76

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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.