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Finding the Fourth Proportional to 98,500.86, 147,774.66 and 31,941

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Solution

The fourth proportional to 98,500.86, 147,774.66 and 31,941 is: 47,919.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,500.86 : 147,774.66 = 31,941 : x
  2. Step 2: Convert to fraction form
    98,500.86/147,774.66 = 31,941/x
  3. Step 3: Cross multiply
    98,500.86x = 147,774.66 × 31,941
  4. Step 4: Simplify right side
    98,500.86x = 4,720,070,415.06
  5. Step 5: Solve for x
    x = 4,720,070,415.06/98,500.86
  6. Step 6: Final answer
    x = 47,919.08

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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.