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Finding the Fourth Proportional to 218,702.40, 328,066.56 and 68,947.44

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Solution

The fourth proportional to 218,702.40, 328,066.56 and 68,947.44 is: 103,425.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    218,702.40 : 328,066.56 = 68,947.44 : x
  2. Step 2: Convert to fraction form
    218,702.40/328,066.56 = 68,947.44/x
  3. Step 3: Cross multiply
    218,702.40x = 328,066.56 × 68,947.44
  4. Step 4: Simplify right side
    218,702.40x = 22,619,349,461.61
  5. Step 5: Solve for x
    x = 22,619,349,461.61/218,702.40
  6. Step 6: Final answer
    x = 103,425.25

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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.