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Finding the Fourth Proportional to 257,061.28, 385,509.76 and 88,541.09

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Solution

The fourth proportional to 257,061.28, 385,509.76 and 88,541.09 is: 132,783.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,061.28 : 385,509.76 = 88,541.09 : x
  2. Step 2: Convert to fraction form
    257,061.28/385,509.76 = 88,541.09/x
  3. Step 3: Cross multiply
    257,061.28x = 385,509.76 × 88,541.09
  4. Step 4: Simplify right side
    257,061.28x = 34,133,454,356.04
  5. Step 5: Solve for x
    x = 34,133,454,356.04/257,061.28
  6. Step 6: Final answer
    x = 132,783.34

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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.