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Finding the Fourth Proportional to 151,432.88, 208,981.70 and 84,369.20

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Solution

The fourth proportional to 151,432.88, 208,981.70 and 84,369.20 is: 116,431.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    151,432.88 : 208,981.70 = 84,369.20 : x
  2. Step 2: Convert to fraction form
    151,432.88/208,981.70 = 84,369.20/x
  3. Step 3: Cross multiply
    151,432.88x = 208,981.70 × 84,369.20
  4. Step 4: Simplify right side
    151,432.88x = 17,631,617,376.89
  5. Step 5: Solve for x
    x = 17,631,617,376.89/151,432.88
  6. Step 6: Final answer
    x = 116,431.90

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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.