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Finding the Fourth Proportional to 107,664.80, 148,482.84 and 75,382.88

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Solution

The fourth proportional to 107,664.80, 148,482.84 and 75,382.88 is: 103,962.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,664.80 : 148,482.84 = 75,382.88 : x
  2. Step 2: Convert to fraction form
    107,664.80/148,482.84 = 75,382.88/x
  3. Step 3: Cross multiply
    107,664.80x = 148,482.84 × 75,382.88
  4. Step 4: Simplify right side
    107,664.80x = 11,193,064,109.78
  5. Step 5: Solve for x
    x = 11,193,064,109.78/107,664.80
  6. Step 6: Final answer
    x = 103,962.15

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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.