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Finding the Fourth Proportional to 135,641.52, 187,155 and 81,185.22

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Solution

The fourth proportional to 135,641.52, 187,155 and 81,185.22 is: 112,017.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,641.52 : 187,155 = 81,185.22 : x
  2. Step 2: Convert to fraction form
    135,641.52/187,155 = 81,185.22/x
  3. Step 3: Cross multiply
    135,641.52x = 187,155 × 81,185.22
  4. Step 4: Simplify right side
    135,641.52x = 15,194,219,849.10
  5. Step 5: Solve for x
    x = 15,194,219,849.10/135,641.52
  6. Step 6: Final answer
    x = 112,017.47

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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.