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Finding the Fourth Proportional to 148,689, 205,188.39 and 85,024.62

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Solution

The fourth proportional to 148,689, 205,188.39 and 85,024.62 is: 117,332.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    148,689 : 205,188.39 = 85,024.62 : x
  2. Step 2: Convert to fraction form
    148,689/205,188.39 = 85,024.62/x
  3. Step 3: Cross multiply
    148,689x = 205,188.39 × 85,024.62
  4. Step 4: Simplify right side
    148,689x = 17,446,064,888.16
  5. Step 5: Solve for x
    x = 17,446,064,888.16/148,689
  6. Step 6: Final answer
    x = 117,332.59

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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.