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Finding the Fourth Proportional to 92,543.86, 138,871.08 and 85,015.11

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Solution

The fourth proportional to 92,543.86, 138,871.08 and 85,015.11 is: 127,573.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    92,543.86 : 138,871.08 = 85,015.11 : x
  2. Step 2: Convert to fraction form
    92,543.86/138,871.08 = 85,015.11/x
  3. Step 3: Cross multiply
    92,543.86x = 138,871.08 × 85,015.11
  4. Step 4: Simplify right side
    92,543.86x = 11,806,140,142.02
  5. Step 5: Solve for x
    x = 11,806,140,142.02/92,543.86
  6. Step 6: Final answer
    x = 127,573.46

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.