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Finding the Fourth Proportional to 102,335.28, 153,280.72 and 49,634

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Solution

The fourth proportional to 102,335.28, 153,280.72 and 49,634 is: 74,343.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,335.28 : 153,280.72 = 49,634 : x
  2. Step 2: Convert to fraction form
    102,335.28/153,280.72 = 49,634/x
  3. Step 3: Cross multiply
    102,335.28x = 153,280.72 × 49,634
  4. Step 4: Simplify right side
    102,335.28x = 7,607,935,256.48
  5. Step 5: Solve for x
    x = 7,607,935,256.48/102,335.28
  6. Step 6: Final answer
    x = 74,343.23

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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.