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Finding the Fourth Proportional to 138,504.86, 191,225.66 and 86,892.72

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Solution

The fourth proportional to 138,504.86, 191,225.66 and 86,892.72 is: 119,967.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,504.86 : 191,225.66 = 86,892.72 : x
  2. Step 2: Convert to fraction form
    138,504.86/191,225.66 = 86,892.72/x
  3. Step 3: Cross multiply
    138,504.86x = 191,225.66 × 86,892.72
  4. Step 4: Simplify right side
    138,504.86x = 16,616,117,731.20
  5. Step 5: Solve for x
    x = 16,616,117,731.20/138,504.86
  6. Step 6: Final answer
    x = 119,967.76

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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.