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Finding the Fourth Proportional to 98,416.74, 147,648.54 and 31,856.86

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Solution

The fourth proportional to 98,416.74, 147,648.54 and 31,856.86 is: 47,792.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,416.74 : 147,648.54 = 31,856.86 : x
  2. Step 2: Convert to fraction form
    98,416.74/147,648.54 = 31,856.86/x
  3. Step 3: Cross multiply
    98,416.74x = 147,648.54 × 31,856.86
  4. Step 4: Simplify right side
    98,416.74x = 4,703,618,867.98
  5. Step 5: Solve for x
    x = 4,703,618,867.98/98,416.74
  6. Step 6: Final answer
    x = 47,792.87

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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.