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Finding the Fourth Proportional to 138,447.24, 191,070.54 and 88,143

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Solution

The fourth proportional to 138,447.24, 191,070.54 and 88,143 is: 121,645.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,447.24 : 191,070.54 = 88,143 : x
  2. Step 2: Convert to fraction form
    138,447.24/191,070.54 = 88,143/x
  3. Step 3: Cross multiply
    138,447.24x = 191,070.54 × 88,143
  4. Step 4: Simplify right side
    138,447.24x = 16,841,530,607.22
  5. Step 5: Solve for x
    x = 16,841,530,607.22/138,447.24
  6. Step 6: Final answer
    x = 121,645.84

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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.