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Finding the Fourth Proportional to 128,026.98, 176,695.02 and 71,442

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Solution

The fourth proportional to 128,026.98, 176,695.02 and 71,442 is: 98,599.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    128,026.98 : 176,695.02 = 71,442 : x
  2. Step 2: Convert to fraction form
    128,026.98/176,695.02 = 71,442/x
  3. Step 3: Cross multiply
    128,026.98x = 176,695.02 × 71,442
  4. Step 4: Simplify right side
    128,026.98x = 12,623,445,618.84
  5. Step 5: Solve for x
    x = 12,623,445,618.84/128,026.98
  6. Step 6: Final answer
    x = 98,599.89

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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.