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Finding the Fourth Proportional to 135,560, 187,074.96 and 75,944

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Solution

The fourth proportional to 135,560, 187,074.96 and 75,944 is: 104,803.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,560 : 187,074.96 = 75,944 : x
  2. Step 2: Convert to fraction form
    135,560/187,074.96 = 75,944/x
  3. Step 3: Cross multiply
    135,560x = 187,074.96 × 75,944
  4. Step 4: Simplify right side
    135,560x = 14,207,220,762.24
  5. Step 5: Solve for x
    x = 14,207,220,762.24/135,560
  6. Step 6: Final answer
    x = 104,803.93

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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.