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Finding the Fourth Proportional to 142,545.40, 213,767.70 and 49,029.40

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Solution

The fourth proportional to 142,545.40, 213,767.70 and 49,029.40 is: 73,526.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,545.40 : 213,767.70 = 49,029.40 : x
  2. Step 2: Convert to fraction form
    142,545.40/213,767.70 = 49,029.40/x
  3. Step 3: Cross multiply
    142,545.40x = 213,767.70 × 49,029.40
  4. Step 4: Simplify right side
    142,545.40x = 10,480,902,070.38
  5. Step 5: Solve for x
    x = 10,480,902,070.38/142,545.40
  6. Step 6: Final answer
    x = 73,526.76

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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.