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Finding the Fourth Proportional to 138,362.16, 207,448.44 and 49,613.76

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Solution

The fourth proportional to 138,362.16, 207,448.44 and 49,613.76 is: 74,386.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,362.16 : 207,448.44 = 49,613.76 : x
  2. Step 2: Convert to fraction form
    138,362.16/207,448.44 = 49,613.76/x
  3. Step 3: Cross multiply
    138,362.16x = 207,448.44 × 49,613.76
  4. Step 4: Simplify right side
    138,362.16x = 10,292,297,114.53
  5. Step 5: Solve for x
    x = 10,292,297,114.53/138,362.16
  6. Step 6: Final answer
    x = 74,386.65

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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.