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Finding the Fourth Proportional to 318,008.16, 477,004.76 and 78,121.69

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Solution

The fourth proportional to 318,008.16, 477,004.76 and 78,121.69 is: 117,180.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    318,008.16 : 477,004.76 = 78,121.69 : x
  2. Step 2: Convert to fraction form
    318,008.16/477,004.76 = 78,121.69/x
  3. Step 3: Cross multiply
    318,008.16x = 477,004.76 × 78,121.69
  4. Step 4: Simplify right side
    318,008.16x = 37,264,417,989.24
  5. Step 5: Solve for x
    x = 37,264,417,989.24/318,008.16
  6. Step 6: Final answer
    x = 117,180.70

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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.