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Finding the Fourth Proportional to 103,589.84, 142,943.88 and 58,257.20

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Solution

The fourth proportional to 103,589.84, 142,943.88 and 58,257.20 is: 80,389.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,589.84 : 142,943.88 = 58,257.20 : x
  2. Step 2: Convert to fraction form
    103,589.84/142,943.88 = 58,257.20/x
  3. Step 3: Cross multiply
    103,589.84x = 142,943.88 × 58,257.20
  4. Step 4: Simplify right side
    103,589.84x = 8,327,510,205.94
  5. Step 5: Solve for x
    x = 8,327,510,205.94/103,589.84
  6. Step 6: Final answer
    x = 80,389.26

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1.5x scale

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.