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Finding the Fourth Proportional to 98,570.96, 147,961.66 and 42,438.86

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Solution

The fourth proportional to 98,570.96, 147,961.66 and 42,438.86 is: 63,703.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,570.96 : 147,961.66 = 42,438.86 : x
  2. Step 2: Convert to fraction form
    98,570.96/147,961.66 = 42,438.86/x
  3. Step 3: Cross multiply
    98,570.96x = 147,961.66 × 42,438.86
  4. Step 4: Simplify right side
    98,570.96x = 6,279,324,174.11
  5. Step 5: Solve for x
    x = 6,279,324,174.11/98,570.96
  6. Step 6: Final answer
    x = 63,703.59

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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.