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Finding the Fourth Proportional to 138,493.53, 191,120.49 and 74,831.16

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Solution

The fourth proportional to 138,493.53, 191,120.49 and 74,831.16 is: 103,266.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,493.53 : 191,120.49 = 74,831.16 : x
  2. Step 2: Convert to fraction form
    138,493.53/191,120.49 = 74,831.16/x
  3. Step 3: Cross multiply
    138,493.53x = 191,120.49 × 74,831.16
  4. Step 4: Simplify right side
    138,493.53x = 14,301,767,966.47
  5. Step 5: Solve for x
    x = 14,301,767,966.47/138,493.53
  6. Step 6: Final answer
    x = 103,266.69

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.