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Finding the Fourth Proportional to 103,446, 155,178 and 28,566.24

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Solution

The fourth proportional to 103,446, 155,178 and 28,566.24 is: 42,851.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,446 : 155,178 = 28,566.24 : x
  2. Step 2: Convert to fraction form
    103,446/155,178 = 28,566.24/x
  3. Step 3: Cross multiply
    103,446x = 155,178 × 28,566.24
  4. Step 4: Simplify right side
    103,446x = 4,432,851,990.72
  5. Step 5: Solve for x
    x = 4,432,851,990.72/103,446
  6. Step 6: Final answer
    x = 42,851.85

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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.