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Finding the Fourth Proportional to 138,347.04, 207,051.86 and 85,072.77

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Solution

The fourth proportional to 138,347.04, 207,051.86 and 85,072.77 is: 127,320.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,347.04 : 207,051.86 = 85,072.77 : x
  2. Step 2: Convert to fraction form
    138,347.04/207,051.86 = 85,072.77/x
  3. Step 3: Cross multiply
    138,347.04x = 207,051.86 × 85,072.77
  4. Step 4: Simplify right side
    138,347.04x = 17,614,475,263.85
  5. Step 5: Solve for x
    x = 17,614,475,263.85/138,347.04
  6. Step 6: Final answer
    x = 127,320.94

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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.