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Finding the Fourth Proportional to 51,240.80, 76,861.20 and 42,946.40

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Solution

The fourth proportional to 51,240.80, 76,861.20 and 42,946.40 is: 64,419.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,240.80 : 76,861.20 = 42,946.40 : x
  2. Step 2: Convert to fraction form
    51,240.80/76,861.20 = 42,946.40/x
  3. Step 3: Cross multiply
    51,240.80x = 76,861.20 × 42,946.40
  4. Step 4: Simplify right side
    51,240.80x = 3,300,911,839.68
  5. Step 5: Solve for x
    x = 3,300,911,839.68/51,240.80
  6. Step 6: Final answer
    x = 64,419.60

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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.