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Finding the Fourth Proportional to 138,322.53, 207,151.16 and 78,978.33

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Solution

The fourth proportional to 138,322.53, 207,151.16 and 78,978.33 is: 118,277.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,322.53 : 207,151.16 = 78,978.33 : x
  2. Step 2: Convert to fraction form
    138,322.53/207,151.16 = 78,978.33/x
  3. Step 3: Cross multiply
    138,322.53x = 207,151.16 × 78,978.33
  4. Step 4: Simplify right side
    138,322.53x = 16,360,452,674.36
  5. Step 5: Solve for x
    x = 16,360,452,674.36/138,322.53
  6. Step 6: Final answer
    x = 118,277.57

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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.