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Finding the Fourth Proportional to 103,278, 142,523.64 and 58,566

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Solution

The fourth proportional to 103,278, 142,523.64 and 58,566 is: 80,821.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,278 : 142,523.64 = 58,566 : x
  2. Step 2: Convert to fraction form
    103,278/142,523.64 = 58,566/x
  3. Step 3: Cross multiply
    103,278x = 142,523.64 × 58,566
  4. Step 4: Simplify right side
    103,278x = 8,347,039,500.24
  5. Step 5: Solve for x
    x = 8,347,039,500.24/103,278
  6. Step 6: Final answer
    x = 80,821.08

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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.