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Finding the Fourth Proportional to 78,441.54, 108,249.32 and 42,631.64

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Solution

The fourth proportional to 78,441.54, 108,249.32 and 42,631.64 is: 58,831.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,441.54 : 108,249.32 = 42,631.64 : x
  2. Step 2: Convert to fraction form
    78,441.54/108,249.32 = 42,631.64/x
  3. Step 3: Cross multiply
    78,441.54x = 108,249.32 × 42,631.64
  4. Step 4: Simplify right side
    78,441.54x = 4,614,845,691.14
  5. Step 5: Solve for x
    x = 4,614,845,691.14/78,441.54
  6. Step 6: Final answer
    x = 58,831.66

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1.5x scale

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.