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Finding the Fourth Proportional to 138,417.56, 207,654.08 and 49,678.01

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Solution

The fourth proportional to 138,417.56, 207,654.08 and 49,678.01 is: 74,526.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,417.56 : 207,654.08 = 49,678.01 : x
  2. Step 2: Convert to fraction form
    138,417.56/207,654.08 = 49,678.01/x
  3. Step 3: Cross multiply
    138,417.56x = 207,654.08 × 49,678.01
  4. Step 4: Simplify right side
    138,417.56x = 10,315,840,176.12
  5. Step 5: Solve for x
    x = 10,315,840,176.12/138,417.56
  6. Step 6: Final answer
    x = 74,526.96

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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.