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Finding the Fourth Proportional to 130,929, 180,682.02 and 71,313

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Solution

The fourth proportional to 130,929, 180,682.02 and 71,313 is: 98,411.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    130,929 : 180,682.02 = 71,313 : x
  2. Step 2: Convert to fraction form
    130,929/180,682.02 = 71,313/x
  3. Step 3: Cross multiply
    130,929x = 180,682.02 × 71,313
  4. Step 4: Simplify right side
    130,929x = 12,884,976,892.26
  5. Step 5: Solve for x
    x = 12,884,976,892.26/130,929
  6. Step 6: Final answer
    x = 98,411.94

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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.