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Finding the Fourth Proportional to 85,898.16, 118,535.46 and 47,657.30

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Solution

The fourth proportional to 85,898.16, 118,535.46 and 47,657.30 is: 65,764.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,898.16 : 118,535.46 = 47,657.30 : x
  2. Step 2: Convert to fraction form
    85,898.16/118,535.46 = 47,657.30/x
  3. Step 3: Cross multiply
    85,898.16x = 118,535.46 × 47,657.30
  4. Step 4: Simplify right side
    85,898.16x = 5,649,079,977.86
  5. Step 5: Solve for x
    x = 5,649,079,977.86/85,898.16
  6. Step 6: Final answer
    x = 65,764.85

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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.