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Finding the Fourth Proportional to 152,108.82, 209,916.70 and 84,125.78

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Solution

The fourth proportional to 152,108.82, 209,916.70 and 84,125.78 is: 116,097.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,108.82 : 209,916.70 = 84,125.78 : x
  2. Step 2: Convert to fraction form
    152,108.82/209,916.70 = 84,125.78/x
  3. Step 3: Cross multiply
    152,108.82x = 209,916.70 × 84,125.78
  4. Step 4: Simplify right side
    152,108.82x = 17,659,406,122.53
  5. Step 5: Solve for x
    x = 17,659,406,122.53/152,108.82
  6. Step 6: Final answer
    x = 116,097.19

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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.