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Finding the Fourth Proportional to 138,073.86, 207,111.27 and 42,012

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Solution

The fourth proportional to 138,073.86, 207,111.27 and 42,012 is: 63,018.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,073.86 : 207,111.27 = 42,012 : x
  2. Step 2: Convert to fraction form
    138,073.86/207,111.27 = 42,012/x
  3. Step 3: Cross multiply
    138,073.86x = 207,111.27 × 42,012
  4. Step 4: Simplify right side
    138,073.86x = 8,701,158,675.24
  5. Step 5: Solve for x
    x = 8,701,158,675.24/138,073.86
  6. Step 6: Final answer
    x = 63,018.15

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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.