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Finding the Fourth Proportional to 130,909, 180,654.42 and 71,293

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Solution

The fourth proportional to 130,909, 180,654.42 and 71,293 is: 98,384.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    130,909 : 180,654.42 = 71,293 : x
  2. Step 2: Convert to fraction form
    130,909/180,654.42 = 71,293/x
  3. Step 3: Cross multiply
    130,909x = 180,654.42 × 71,293
  4. Step 4: Simplify right side
    130,909x = 12,879,395,565.06
  5. Step 5: Solve for x
    x = 12,879,395,565.06/130,909
  6. Step 6: Final answer
    x = 98,384.34

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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.