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Finding the Fourth Proportional to 107,405.94, 148,261.53 and 71,582.88

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Solution

The fourth proportional to 107,405.94, 148,261.53 and 71,582.88 is: 98,811.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,405.94 : 148,261.53 = 71,582.88 : x
  2. Step 2: Convert to fraction form
    107,405.94/148,261.53 = 71,582.88/x
  3. Step 3: Cross multiply
    107,405.94x = 148,261.53 × 71,582.88
  4. Step 4: Simplify right side
    107,405.94x = 10,612,987,310.61
  5. Step 5: Solve for x
    x = 10,612,987,310.61/107,405.94
  6. Step 6: Final answer
    x = 98,811.92

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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.