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Finding the Fourth Proportional to 105,609.80, 145,727.70 and 63,152.84

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Solution

The fourth proportional to 105,609.80, 145,727.70 and 63,152.84 is: 87,142.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,609.80 : 145,727.70 = 63,152.84 : x
  2. Step 2: Convert to fraction form
    105,609.80/145,727.70 = 63,152.84/x
  3. Step 3: Cross multiply
    105,609.80x = 145,727.70 × 63,152.84
  4. Step 4: Simplify right side
    105,609.80x = 9,203,118,121.67
  5. Step 5: Solve for x
    x = 9,203,118,121.67/105,609.80
  6. Step 6: Final answer
    x = 87,142.65

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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.