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Finding the Fourth Proportional to 135,903.79, 187,532.31 and 77,761.18

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Solution

The fourth proportional to 135,903.79, 187,532.31 and 77,761.18 is: 107,301.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,903.79 : 187,532.31 = 77,761.18 : x
  2. Step 2: Convert to fraction form
    135,903.79/187,532.31 = 77,761.18/x
  3. Step 3: Cross multiply
    135,903.79x = 187,532.31 × 77,761.18
  4. Step 4: Simplify right side
    135,903.79x = 14,582,733,713.73
  5. Step 5: Solve for x
    x = 14,582,733,713.73/135,903.79
  6. Step 6: Final answer
    x = 107,301.89

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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.