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Finding the Fourth Proportional to 138,689, 191,390.62 and 75,026.66

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Solution

The fourth proportional to 138,689, 191,390.62 and 75,026.66 is: 103,536.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,689 : 191,390.62 = 75,026.66 : x
  2. Step 2: Convert to fraction form
    138,689/191,390.62 = 75,026.66/x
  3. Step 3: Cross multiply
    138,689x = 191,390.62 × 75,026.66
  4. Step 4: Simplify right side
    138,689x = 14,359,398,973.93
  5. Step 5: Solve for x
    x = 14,359,398,973.93/138,689
  6. Step 6: Final answer
    x = 103,536.68

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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.