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Finding the Fourth Proportional to 78,457.20, 117,612.90 and 54,764.70

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Solution

The fourth proportional to 78,457.20, 117,612.90 and 54,764.70 is: 82,096.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,457.20 : 117,612.90 = 54,764.70 : x
  2. Step 2: Convert to fraction form
    78,457.20/117,612.90 = 54,764.70/x
  3. Step 3: Cross multiply
    78,457.20x = 117,612.90 × 54,764.70
  4. Step 4: Simplify right side
    78,457.20x = 6,441,035,184.63
  5. Step 5: Solve for x
    x = 6,441,035,184.63/78,457.20
  6. Step 6: Final answer
    x = 82,096.16

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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.