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Finding the Fourth Proportional to 138,590.94, 191,255.40 and 74,928.78

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Solution

The fourth proportional to 138,590.94, 191,255.40 and 74,928.78 is: 103,401.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,590.94 : 191,255.40 = 74,928.78 : x
  2. Step 2: Convert to fraction form
    138,590.94/191,255.40 = 74,928.78/x
  3. Step 3: Cross multiply
    138,590.94x = 191,255.40 × 74,928.78
  4. Step 4: Simplify right side
    138,590.94x = 14,330,533,790.41
  5. Step 5: Solve for x
    x = 14,330,533,790.41/138,590.94
  6. Step 6: Final answer
    x = 103,401.66

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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.