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Finding the Fourth Proportional to 318,005.32, 477,030.06 and 107,572.12

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Solution

The fourth proportional to 318,005.32, 477,030.06 and 107,572.12 is: 161,365.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    318,005.32 : 477,030.06 = 107,572.12 : x
  2. Step 2: Convert to fraction form
    318,005.32/477,030.06 = 107,572.12/x
  3. Step 3: Cross multiply
    318,005.32x = 477,030.06 × 107,572.12
  4. Step 4: Simplify right side
    318,005.32x = 51,315,134,857.93
  5. Step 5: Solve for x
    x = 51,315,134,857.93/318,005.32
  6. Step 6: Final answer
    x = 161,365.65

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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.