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Finding the Fourth Proportional to 83,154.18, 114,739.53 and 47,344.86

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Solution

The fourth proportional to 83,154.18, 114,739.53 and 47,344.86 is: 65,328.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,154.18 : 114,739.53 = 47,344.86 : x
  2. Step 2: Convert to fraction form
    83,154.18/114,739.53 = 47,344.86/x
  3. Step 3: Cross multiply
    83,154.18x = 114,739.53 × 47,344.86
  4. Step 4: Simplify right side
    83,154.18x = 5,432,326,984.32
  5. Step 5: Solve for x
    x = 5,432,326,984.32/83,154.18
  6. Step 6: Final answer
    x = 65,328.37

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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.