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Finding the Fourth Proportional to 140,148.96, 193,409.72 and 76,490.88

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Solution

The fourth proportional to 140,148.96, 193,409.72 and 76,490.88 is: 105,559.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,148.96 : 193,409.72 = 76,490.88 : x
  2. Step 2: Convert to fraction form
    140,148.96/193,409.72 = 76,490.88/x
  3. Step 3: Cross multiply
    140,148.96x = 193,409.72 × 76,490.88
  4. Step 4: Simplify right side
    140,148.96x = 14,794,079,683.35
  5. Step 5: Solve for x
    x = 14,794,079,683.35/140,148.96
  6. Step 6: Final answer
    x = 105,559.68

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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.