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Finding the Fourth Proportional to 72,707.19, 100,286.58 and 47,167.91

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Solution

The fourth proportional to 72,707.19, 100,286.58 and 47,167.91 is: 65,059.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,707.19 : 100,286.58 = 47,167.91 : x
  2. Step 2: Convert to fraction form
    72,707.19/100,286.58 = 47,167.91/x
  3. Step 3: Cross multiply
    72,707.19x = 100,286.58 × 47,167.91
  4. Step 4: Simplify right side
    72,707.19x = 4,730,307,878.21
  5. Step 5: Solve for x
    x = 4,730,307,878.21/72,707.19
  6. Step 6: Final answer
    x = 65,059.70

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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.