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Finding the Fourth Proportional to 101,967.80, 152,951.70 and 66,538.40

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Solution

The fourth proportional to 101,967.80, 152,951.70 and 66,538.40 is: 99,807.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,967.80 : 152,951.70 = 66,538.40 : x
  2. Step 2: Convert to fraction form
    101,967.80/152,951.70 = 66,538.40/x
  3. Step 3: Cross multiply
    101,967.80x = 152,951.70 × 66,538.40
  4. Step 4: Simplify right side
    101,967.80x = 10,177,161,395.28
  5. Step 5: Solve for x
    x = 10,177,161,395.28/101,967.80
  6. Step 6: Final answer
    x = 99,807.60

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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.