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Finding the Fourth Proportional to 98,144.88, 147,196.68 and 31,590.96

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Solution

The fourth proportional to 98,144.88, 147,196.68 and 31,590.96 is: 47,379.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,144.88 : 147,196.68 = 31,590.96 : x
  2. Step 2: Convert to fraction form
    98,144.88/147,196.68 = 31,590.96/x
  3. Step 3: Cross multiply
    98,144.88x = 147,196.68 × 31,590.96
  4. Step 4: Simplify right side
    98,144.88x = 4,650,084,430.01
  5. Step 5: Solve for x
    x = 4,650,084,430.01/98,144.88
  6. Step 6: Final answer
    x = 47,379.80

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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.