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Finding the Fourth Proportional to 42,282, 63,420.57 and 12,699.18

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Solution

The fourth proportional to 42,282, 63,420.57 and 12,699.18 is: 19,048.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,282 : 63,420.57 = 12,699.18 : x
  2. Step 2: Convert to fraction form
    42,282/63,420.57 = 12,699.18/x
  3. Step 3: Cross multiply
    42,282x = 63,420.57 × 12,699.18
  4. Step 4: Simplify right side
    42,282x = 805,389,234.13
  5. Step 5: Solve for x
    x = 805,389,234.13/42,282
  6. Step 6: Final answer
    x = 19,048.04

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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.