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Finding the Fourth Proportional to 138,655.86, 191,340.68 and 78,225.70

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Solution

The fourth proportional to 138,655.86, 191,340.68 and 78,225.70 is: 107,948.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,655.86 : 191,340.68 = 78,225.70 : x
  2. Step 2: Convert to fraction form
    138,655.86/191,340.68 = 78,225.70/x
  3. Step 3: Cross multiply
    138,655.86x = 191,340.68 × 78,225.70
  4. Step 4: Simplify right side
    138,655.86x = 14,967,758,631.48
  5. Step 5: Solve for x
    x = 14,967,758,631.48/138,655.86
  6. Step 6: Final answer
    x = 107,948.98

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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.