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Finding the Fourth Proportional to 98,657.58, 147,987.45 and 78,910.86

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Solution

The fourth proportional to 98,657.58, 147,987.45 and 78,910.86 is: 118,367.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,657.58 : 147,987.45 = 78,910.86 : x
  2. Step 2: Convert to fraction form
    98,657.58/147,987.45 = 78,910.86/x
  3. Step 3: Cross multiply
    98,657.58x = 147,987.45 × 78,910.86
  4. Step 4: Simplify right side
    98,657.58x = 11,677,816,948.71
  5. Step 5: Solve for x
    x = 11,677,816,948.71/98,657.58
  6. Step 6: Final answer
    x = 118,367.15

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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.