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Finding the Fourth Proportional to 157,283, 217,050.54 and 86,627

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Solution

The fourth proportional to 157,283, 217,050.54 and 86,627 is: 119,545.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,283 : 217,050.54 = 86,627 : x
  2. Step 2: Convert to fraction form
    157,283/217,050.54 = 86,627/x
  3. Step 3: Cross multiply
    157,283x = 217,050.54 × 86,627
  4. Step 4: Simplify right side
    157,283x = 18,802,437,128.58
  5. Step 5: Solve for x
    x = 18,802,437,128.58/157,283
  6. Step 6: Final answer
    x = 119,545.26

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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.