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Finding the Fourth Proportional to 502,121.88, 753,127.74 and 147,139.38

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Solution

The fourth proportional to 502,121.88, 753,127.74 and 147,139.38 is: 220,692.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    502,121.88 : 753,127.74 = 147,139.38 : x
  2. Step 2: Convert to fraction form
    502,121.88/753,127.74 = 147,139.38/x
  3. Step 3: Cross multiply
    502,121.88x = 753,127.74 × 147,139.38
  4. Step 4: Simplify right side
    502,121.88x = 110,814,748,724.40
  5. Step 5: Solve for x
    x = 110,814,748,724.40/502,121.88
  6. Step 6: Final answer
    x = 220,692.93

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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.