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Finding the Fourth Proportional to 98,569.76, 147,857.27 and 28,449

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Solution

The fourth proportional to 98,569.76, 147,857.27 and 28,449 is: 42,674.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,569.76 : 147,857.27 = 28,449 : x
  2. Step 2: Convert to fraction form
    98,569.76/147,857.27 = 28,449/x
  3. Step 3: Cross multiply
    98,569.76x = 147,857.27 × 28,449
  4. Step 4: Simplify right side
    98,569.76x = 4,206,391,331.99
  5. Step 5: Solve for x
    x = 4,206,391,331.99/98,569.76
  6. Step 6: Final answer
    x = 42,674.26

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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.