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Finding the Fourth Proportional to 78,182.88, 107,889.72 and 46,332.90

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Solution

The fourth proportional to 78,182.88, 107,889.72 and 46,332.90 is: 63,937.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,182.88 : 107,889.72 = 46,332.90 : x
  2. Step 2: Convert to fraction form
    78,182.88/107,889.72 = 46,332.90/x
  3. Step 3: Cross multiply
    78,182.88x = 107,889.72 × 46,332.90
  4. Step 4: Simplify right side
    78,182.88x = 4,998,843,607.79
  5. Step 5: Solve for x
    x = 4,998,843,607.79/78,182.88
  6. Step 6: Final answer
    x = 63,937.83

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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.