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Finding the Fourth Proportional to 130,961, 180,726.18 and 71,345

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Solution

The fourth proportional to 130,961, 180,726.18 and 71,345 is: 98,456.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    130,961 : 180,726.18 = 71,345 : x
  2. Step 2: Convert to fraction form
    130,961/180,726.18 = 71,345/x
  3. Step 3: Cross multiply
    130,961x = 180,726.18 × 71,345
  4. Step 4: Simplify right side
    130,961x = 12,893,909,312.10
  5. Step 5: Solve for x
    x = 12,893,909,312.10/130,961
  6. Step 6: Final answer
    x = 98,456.10

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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.