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Finding the Fourth Proportional to 138,752.78, 191,478.76 and 78,323.95

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Solution

The fourth proportional to 138,752.78, 191,478.76 and 78,323.95 is: 108,087.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,752.78 : 191,478.76 = 78,323.95 : x
  2. Step 2: Convert to fraction form
    138,752.78/191,478.76 = 78,323.95/x
  3. Step 3: Cross multiply
    138,752.78x = 191,478.76 × 78,323.95
  4. Step 4: Simplify right side
    138,752.78x = 14,997,372,011.06
  5. Step 5: Solve for x
    x = 14,997,372,011.06/138,752.78
  6. Step 6: Final answer
    x = 108,087.00

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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.