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Finding the Fourth Proportional to 145,857.20, 218,785.80 and 62,913.20

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Solution

The fourth proportional to 145,857.20, 218,785.80 and 62,913.20 is: 94,369.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,857.20 : 218,785.80 = 62,913.20 : x
  2. Step 2: Convert to fraction form
    145,857.20/218,785.80 = 62,913.20/x
  3. Step 3: Cross multiply
    145,857.20x = 218,785.80 × 62,913.20
  4. Step 4: Simplify right side
    145,857.20x = 13,764,514,792.56
  5. Step 5: Solve for x
    x = 13,764,514,792.56/145,857.20
  6. Step 6: Final answer
    x = 94,369.80

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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.