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Finding the Fourth Proportional to 228,061.85, 342,165.68 and 78,398.15

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Solution

The fourth proportional to 228,061.85, 342,165.68 and 78,398.15 is: 117,622.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    228,061.85 : 342,165.68 = 78,398.15 : x
  2. Step 2: Convert to fraction form
    228,061.85/342,165.68 = 78,398.15/x
  3. Step 3: Cross multiply
    228,061.85x = 342,165.68 × 78,398.15
  4. Step 4: Simplify right side
    228,061.85x = 26,825,155,913.50
  5. Step 5: Solve for x
    x = 26,825,155,913.50/228,061.85
  6. Step 6: Final answer
    x = 117,622.28

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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.