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Finding the Fourth Proportional to 99,471, 137,386.62 and 65,878.68

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Solution

The fourth proportional to 99,471, 137,386.62 and 65,878.68 is: 90,989.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,471 : 137,386.62 = 65,878.68 : x
  2. Step 2: Convert to fraction form
    99,471/137,386.62 = 65,878.68/x
  3. Step 3: Cross multiply
    99,471x = 137,386.62 × 65,878.68
  4. Step 4: Simplify right side
    99,471x = 9,050,849,175.26
  5. Step 5: Solve for x
    x = 9,050,849,175.26/99,471
  6. Step 6: Final answer
    x = 90,989.83

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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.