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Finding the Fourth Proportional to 318,068.78, 477,102.86 and 81,411.08

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Solution

The fourth proportional to 318,068.78, 477,102.86 and 81,411.08 is: 122,116.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    318,068.78 : 477,102.86 = 81,411.08 : x
  2. Step 2: Convert to fraction form
    318,068.78/477,102.86 = 81,411.08/x
  3. Step 3: Cross multiply
    318,068.78x = 477,102.86 × 81,411.08
  4. Step 4: Simplify right side
    318,068.78x = 38,841,459,103.69
  5. Step 5: Solve for x
    x = 38,841,459,103.69/318,068.78
  6. Step 6: Final answer
    x = 122,116.54

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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.