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Finding the Fourth Proportional to 318,005.19, 477,024.12 and 81,349.92

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Solution

The fourth proportional to 318,005.19, 477,024.12 and 81,349.92 is: 122,029.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    318,005.19 : 477,024.12 = 81,349.92 : x
  2. Step 2: Convert to fraction form
    318,005.19/477,024.12 = 81,349.92/x
  3. Step 3: Cross multiply
    318,005.19x = 477,024.12 × 81,349.92
  4. Step 4: Simplify right side
    318,005.19x = 38,805,874,000.07
  5. Step 5: Solve for x
    x = 38,805,874,000.07/318,005.19
  6. Step 6: Final answer
    x = 122,029.06

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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.