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Finding the Fourth Proportional to 98,529.30, 147,254.08 and 71,931.31

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Solution

The fourth proportional to 98,529.30, 147,254.08 and 71,931.31 is: 107,502.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,529.30 : 147,254.08 = 71,931.31 : x
  2. Step 2: Convert to fraction form
    98,529.30/147,254.08 = 71,931.31/x
  3. Step 3: Cross multiply
    98,529.30x = 147,254.08 × 71,931.31
  4. Step 4: Simplify right side
    98,529.30x = 10,592,178,877.24
  5. Step 5: Solve for x
    x = 10,592,178,877.24/98,529.30
  6. Step 6: Final answer
    x = 107,502.83

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.