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Finding the Fourth Proportional to 138,461.44, 191,080.72 and 77,209.04

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Solution

The fourth proportional to 138,461.44, 191,080.72 and 77,209.04 is: 106,550.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,461.44 : 191,080.72 = 77,209.04 : x
  2. Step 2: Convert to fraction form
    138,461.44/191,080.72 = 77,209.04/x
  3. Step 3: Cross multiply
    138,461.44x = 191,080.72 × 77,209.04
  4. Step 4: Simplify right side
    138,461.44x = 14,753,158,953.71
  5. Step 5: Solve for x
    x = 14,753,158,953.71/138,461.44
  6. Step 6: Final answer
    x = 106,550.67

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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.