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Finding the Fourth Proportional to 101,148.60, 151,730.10 and 31,027.80

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Solution

The fourth proportional to 101,148.60, 151,730.10 and 31,027.80 is: 46,543.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,148.60 : 151,730.10 = 31,027.80 : x
  2. Step 2: Convert to fraction form
    101,148.60/151,730.10 = 31,027.80/x
  3. Step 3: Cross multiply
    101,148.60x = 151,730.10 × 31,027.80
  4. Step 4: Simplify right side
    101,148.60x = 4,707,851,196.78
  5. Step 5: Solve for x
    x = 4,707,851,196.78/101,148.60
  6. Step 6: Final answer
    x = 46,543.91

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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.