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Finding the Fourth Proportional to 101,808.11, 140,502.90 and 56,494.66

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Solution

The fourth proportional to 101,808.11, 140,502.90 and 56,494.66 is: 77,966.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,808.11 : 140,502.90 = 56,494.66 : x
  2. Step 2: Convert to fraction form
    101,808.11/140,502.90 = 56,494.66/x
  3. Step 3: Cross multiply
    101,808.11x = 140,502.90 × 56,494.66
  4. Step 4: Simplify right side
    101,808.11x = 7,937,663,282.04
  5. Step 5: Solve for x
    x = 7,937,663,282.04/101,808.11
  6. Step 6: Final answer
    x = 77,966.91

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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.