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Finding the Fourth Proportional to 78,213.15, 107,934.66 and 42,403.71

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Solution

The fourth proportional to 78,213.15, 107,934.66 and 42,403.71 is: 58,517.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,213.15 : 107,934.66 = 42,403.71 : x
  2. Step 2: Convert to fraction form
    78,213.15/107,934.66 = 42,403.71/x
  3. Step 3: Cross multiply
    78,213.15x = 107,934.66 × 42,403.71
  4. Step 4: Simplify right side
    78,213.15x = 4,576,830,021.59
  5. Step 5: Solve for x
    x = 4,576,830,021.59/78,213.15
  6. Step 6: Final answer
    x = 58,517.40

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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.