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Finding the Fourth Proportional to 98,380.64, 135,748.32 and 55,354.16

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Solution

The fourth proportional to 98,380.64, 135,748.32 and 55,354.16 is: 76,379.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,380.64 : 135,748.32 = 55,354.16 : x
  2. Step 2: Convert to fraction form
    98,380.64/135,748.32 = 55,354.16/x
  3. Step 3: Cross multiply
    98,380.64x = 135,748.32 × 55,354.16
  4. Step 4: Simplify right side
    98,380.64x = 7,514,234,225.01
  5. Step 5: Solve for x
    x = 7,514,234,225.01/98,380.64
  6. Step 6: Final answer
    x = 76,379.20

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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.