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Finding the Fourth Proportional to 100,702.53, 151,053.80 and 47,952.09

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Solution

The fourth proportional to 100,702.53, 151,053.80 and 47,952.09 is: 71,928.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,702.53 : 151,053.80 = 47,952.09 : x
  2. Step 2: Convert to fraction form
    100,702.53/151,053.80 = 47,952.09/x
  3. Step 3: Cross multiply
    100,702.53x = 151,053.80 × 47,952.09
  4. Step 4: Simplify right side
    100,702.53x = 7,243,345,172.68
  5. Step 5: Solve for x
    x = 7,243,345,172.68/100,702.53
  6. Step 6: Final answer
    x = 71,928.14

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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.