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Finding the Fourth Proportional to 138,695.76, 191,401.72 and 78,267.13

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Solution

The fourth proportional to 138,695.76, 191,401.72 and 78,267.13 is: 108,009.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,695.76 : 191,401.72 = 78,267.13 : x
  2. Step 2: Convert to fraction form
    138,695.76/191,401.72 = 78,267.13/x
  3. Step 3: Cross multiply
    138,695.76x = 191,401.72 × 78,267.13
  4. Step 4: Simplify right side
    138,695.76x = 14,980,462,627.29
  5. Step 5: Solve for x
    x = 14,980,462,627.29/138,695.76
  6. Step 6: Final answer
    x = 108,009.52

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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.