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Finding the Fourth Proportional to 97,405.60, 146,281.20 and 75,272.80

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Solution

The fourth proportional to 97,405.60, 146,281.20 and 75,272.80 is: 113,042.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,405.60 : 146,281.20 = 75,272.80 : x
  2. Step 2: Convert to fraction form
    97,405.60/146,281.20 = 75,272.80/x
  3. Step 3: Cross multiply
    97,405.60x = 146,281.20 × 75,272.80
  4. Step 4: Simplify right side
    97,405.60x = 11,010,995,511.36
  5. Step 5: Solve for x
    x = 11,010,995,511.36/97,405.60
  6. Step 6: Final answer
    x = 113,042.74

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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.