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Finding the Fourth Proportional to 78,820.10, 118,230.15 and 32,048.90

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Solution

The fourth proportional to 78,820.10, 118,230.15 and 32,048.90 is: 48,073.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,820.10 : 118,230.15 = 32,048.90 : x
  2. Step 2: Convert to fraction form
    78,820.10/118,230.15 = 32,048.90/x
  3. Step 3: Cross multiply
    78,820.10x = 118,230.15 × 32,048.90
  4. Step 4: Simplify right side
    78,820.10x = 3,789,146,254.34
  5. Step 5: Solve for x
    x = 3,789,146,254.34/78,820.10
  6. Step 6: Final answer
    x = 48,073.35

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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.