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Finding the Fourth Proportional to 105,117.52, 157,452.10 and 85,040.86

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Solution

The fourth proportional to 105,117.52, 157,452.10 and 85,040.86 is: 127,379.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,117.52 : 157,452.10 = 85,040.86 : x
  2. Step 2: Convert to fraction form
    105,117.52/157,452.10 = 85,040.86/x
  3. Step 3: Cross multiply
    105,117.52x = 157,452.10 × 85,040.86
  4. Step 4: Simplify right side
    105,117.52x = 13,389,861,992.81
  5. Step 5: Solve for x
    x = 13,389,861,992.81/105,117.52
  6. Step 6: Final answer
    x = 127,379.93

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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.