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Finding the Fourth Proportional to 259,008.50, 388,534.76 and 72,020

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Solution

The fourth proportional to 259,008.50, 388,534.76 and 72,020 is: 108,036.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    259,008.50 : 388,534.76 = 72,020 : x
  2. Step 2: Convert to fraction form
    259,008.50/388,534.76 = 72,020/x
  3. Step 3: Cross multiply
    259,008.50x = 388,534.76 × 72,020
  4. Step 4: Simplify right side
    259,008.50x = 27,982,273,415.20
  5. Step 5: Solve for x
    x = 27,982,273,415.20/259,008.50
  6. Step 6: Final answer
    x = 108,036.12

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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.