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Finding the Fourth Proportional to 149,959.40, 224,795.10 and 86,714.60

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Solution

The fourth proportional to 149,959.40, 224,795.10 and 86,714.60 is: 129,988.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,959.40 : 224,795.10 = 86,714.60 : x
  2. Step 2: Convert to fraction form
    149,959.40/224,795.10 = 86,714.60/x
  3. Step 3: Cross multiply
    149,959.40x = 224,795.10 × 86,714.60
  4. Step 4: Simplify right side
    149,959.40x = 19,493,017,178.46
  5. Step 5: Solve for x
    x = 19,493,017,178.46/149,959.40
  6. Step 6: Final answer
    x = 129,988.63

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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.