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Finding the Fourth Proportional to 138,287.96, 207,448.00 and 48,302.82

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Solution

The fourth proportional to 138,287.96, 207,448.00 and 48,302.82 is: 72,459.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,287.96 : 207,448.00 = 48,302.82 : x
  2. Step 2: Convert to fraction form
    138,287.96/207,448.00 = 48,302.82/x
  3. Step 3: Cross multiply
    138,287.96x = 207,448.00 × 48,302.82
  4. Step 4: Simplify right side
    138,287.96x = 10,020,323,058.81
  5. Step 5: Solve for x
    x = 10,020,323,058.81/138,287.96
  6. Step 6: Final answer
    x = 72,459.84

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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.