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Finding the Fourth Proportional to 138,607.30, 207,910.95 and 121,111.30

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Solution

The fourth proportional to 138,607.30, 207,910.95 and 121,111.30 is: 181,666.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,607.30 : 207,910.95 = 121,111.30 : x
  2. Step 2: Convert to fraction form
    138,607.30/207,910.95 = 121,111.30/x
  3. Step 3: Cross multiply
    138,607.30x = 207,910.95 × 121,111.30
  4. Step 4: Simplify right side
    138,607.30x = 25,180,365,438.74
  5. Step 5: Solve for x
    x = 25,180,365,438.74/138,607.30
  6. Step 6: Final answer
    x = 181,666.95

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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.