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Finding the Fourth Proportional to 98,432.88, 147,670.86 and 31,879.74

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Solution

The fourth proportional to 98,432.88, 147,670.86 and 31,879.74 is: 47,826.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,432.88 : 147,670.86 = 31,879.74 : x
  2. Step 2: Convert to fraction form
    98,432.88/147,670.86 = 31,879.74/x
  3. Step 3: Cross multiply
    98,432.88x = 147,670.86 × 31,879.74
  4. Step 4: Simplify right side
    98,432.88x = 4,707,708,462.98
  5. Step 5: Solve for x
    x = 4,707,708,462.98/98,432.88
  6. Step 6: Final answer
    x = 47,826.58

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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.