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Finding the Fourth Proportional to 130,651.76, 180,319.56 and 74,051.12

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Solution

The fourth proportional to 130,651.76, 180,319.56 and 74,051.12 is: 102,201.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    130,651.76 : 180,319.56 = 74,051.12 : x
  2. Step 2: Convert to fraction form
    130,651.76/180,319.56 = 74,051.12/x
  3. Step 3: Cross multiply
    130,651.76x = 180,319.56 × 74,051.12
  4. Step 4: Simplify right side
    130,651.76x = 13,352,865,375.91
  5. Step 5: Solve for x
    x = 13,352,865,375.91/130,651.76
  6. Step 6: Final answer
    x = 102,201.96

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1.5x scale

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.