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Finding the Fourth Proportional to 138,695.96, 191,405.30 and 78,263.07

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Solution

The fourth proportional to 138,695.96, 191,405.30 and 78,263.07 is: 108,005.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,695.96 : 191,405.30 = 78,263.07 : x
  2. Step 2: Convert to fraction form
    138,695.96/191,405.30 = 78,263.07/x
  3. Step 3: Cross multiply
    138,695.96x = 191,405.30 × 78,263.07
  4. Step 4: Simplify right side
    138,695.96x = 14,979,966,000.96
  5. Step 5: Solve for x
    x = 14,979,966,000.96/138,695.96
  6. Step 6: Final answer
    x = 108,005.79

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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.