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Finding the Fourth Proportional to 76,478.10, 114,719.42 and 36,501.30

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Solution

The fourth proportional to 76,478.10, 114,719.42 and 36,501.30 is: 54,753.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,478.10 : 114,719.42 = 36,501.30 : x
  2. Step 2: Convert to fraction form
    76,478.10/114,719.42 = 36,501.30/x
  3. Step 3: Cross multiply
    76,478.10x = 114,719.42 × 36,501.30
  4. Step 4: Simplify right side
    76,478.10x = 4,187,407,782.74
  5. Step 5: Solve for x
    x = 4,187,407,782.74/76,478.10
  6. Step 6: Final answer
    x = 54,753.03

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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.