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Finding the Fourth Proportional to 130,952, 180,713.76 and 71,336

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Solution

The fourth proportional to 130,952, 180,713.76 and 71,336 is: 98,443.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    130,952 : 180,713.76 = 71,336 : x
  2. Step 2: Convert to fraction form
    130,952/180,713.76 = 71,336/x
  3. Step 3: Cross multiply
    130,952x = 180,713.76 × 71,336
  4. Step 4: Simplify right side
    130,952x = 12,891,396,783.36
  5. Step 5: Solve for x
    x = 12,891,396,783.36/130,952
  6. Step 6: Final answer
    x = 98,443.68

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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.