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Finding the Fourth Proportional to 281,332.64, 421,862.80 and 103,923.20

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Solution

The fourth proportional to 281,332.64, 421,862.80 and 103,923.20 is: 155,834.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    281,332.64 : 421,862.80 = 103,923.20 : x
  2. Step 2: Convert to fraction form
    281,332.64/421,862.80 = 103,923.20/x
  3. Step 3: Cross multiply
    281,332.64x = 421,862.80 × 103,923.20
  4. Step 4: Simplify right side
    281,332.64x = 43,841,332,136.96
  5. Step 5: Solve for x
    x = 43,841,332,136.96/281,332.64
  6. Step 6: Final answer
    x = 155,834.50

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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.