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Finding the Fourth Proportional to 101,206.80, 151,907.40 and 86,432.40

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Solution

The fourth proportional to 101,206.80, 151,907.40 and 86,432.40 is: 129,731.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,206.80 : 151,907.40 = 86,432.40 : x
  2. Step 2: Convert to fraction form
    101,206.80/151,907.40 = 86,432.40/x
  3. Step 3: Cross multiply
    101,206.80x = 151,907.40 × 86,432.40
  4. Step 4: Simplify right side
    101,206.80x = 13,129,721,159.76
  5. Step 5: Solve for x
    x = 13,129,721,159.76/101,206.80
  6. Step 6: Final answer
    x = 129,731.61

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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.