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Finding the Fourth Proportional to 234,342, 351,513.54 and 84,688

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Solution

The fourth proportional to 234,342, 351,513.54 and 84,688 is: 127,032.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    234,342 : 351,513.54 = 84,688 : x
  2. Step 2: Convert to fraction form
    234,342/351,513.54 = 84,688/x
  3. Step 3: Cross multiply
    234,342x = 351,513.54 × 84,688
  4. Step 4: Simplify right side
    234,342x = 29,768,978,675.52
  5. Step 5: Solve for x
    x = 29,768,978,675.52/234,342
  6. Step 6: Final answer
    x = 127,032.20

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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.