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Finding the Fourth Proportional to 113,776.60, 170,276.10 and 99,779.80

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Solution

The fourth proportional to 113,776.60, 170,276.10 and 99,779.80 is: 149,328.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    113,776.60 : 170,276.10 = 99,779.80 : x
  2. Step 2: Convert to fraction form
    113,776.60/170,276.10 = 99,779.80/x
  3. Step 3: Cross multiply
    113,776.60x = 170,276.10 × 99,779.80
  4. Step 4: Simplify right side
    113,776.60x = 16,990,115,202.78
  5. Step 5: Solve for x
    x = 16,990,115,202.78/113,776.60
  6. Step 6: Final answer
    x = 149,328.73

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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.