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Finding the Fourth Proportional to 138,752.60, 191,477.88 and 75,089.84

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Solution

The fourth proportional to 138,752.60, 191,477.88 and 75,089.84 is: 103,623.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,752.60 : 191,477.88 = 75,089.84 : x
  2. Step 2: Convert to fraction form
    138,752.60/191,477.88 = 75,089.84/x
  3. Step 3: Cross multiply
    138,752.60x = 191,477.88 × 75,089.84
  4. Step 4: Simplify right side
    138,752.60x = 14,378,043,372.74
  5. Step 5: Solve for x
    x = 14,378,043,372.74/138,752.60
  6. Step 6: Final answer
    x = 103,623.60

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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.