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Finding the Fourth Proportional to 77,106.89, 115,340.48 and 72,382.97

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Solution

The fourth proportional to 77,106.89, 115,340.48 and 72,382.97 is: 108,274.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,106.89 : 115,340.48 = 72,382.97 : x
  2. Step 2: Convert to fraction form
    77,106.89/115,340.48 = 72,382.97/x
  3. Step 3: Cross multiply
    77,106.89x = 115,340.48 × 72,382.97
  4. Step 4: Simplify right side
    77,106.89x = 8,348,686,430.06
  5. Step 5: Solve for x
    x = 8,348,686,430.06/77,106.89
  6. Step 6: Final answer
    x = 108,274.19

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.