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Finding the Fourth Proportional to 172,398.60, 258,743.70 and 77,774.40

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Solution

The fourth proportional to 172,398.60, 258,743.70 and 77,774.40 is: 116,727.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    172,398.60 : 258,743.70 = 77,774.40 : x
  2. Step 2: Convert to fraction form
    172,398.60/258,743.70 = 77,774.40/x
  3. Step 3: Cross multiply
    172,398.60x = 258,743.70 × 77,774.40
  4. Step 4: Simplify right side
    172,398.60x = 20,123,636,021.28
  5. Step 5: Solve for x
    x = 20,123,636,021.28/172,398.60
  6. Step 6: Final answer
    x = 116,727.37

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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.