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Finding the Fourth Proportional to 153,707, 212,115.66 and 86,639

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Solution

The fourth proportional to 153,707, 212,115.66 and 86,639 is: 119,561.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,707 : 212,115.66 = 86,639 : x
  2. Step 2: Convert to fraction form
    153,707/212,115.66 = 86,639/x
  3. Step 3: Cross multiply
    153,707x = 212,115.66 × 86,639
  4. Step 4: Simplify right side
    153,707x = 18,377,488,666.74
  5. Step 5: Solve for x
    x = 18,377,488,666.74/153,707
  6. Step 6: Final answer
    x = 119,561.82

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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.