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Finding the Fourth Proportional to 98,821.63, 148,239.38 and 39,657.34

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Solution

The fourth proportional to 98,821.63, 148,239.38 and 39,657.34 is: 59,488.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,821.63 : 148,239.38 = 39,657.34 : x
  2. Step 2: Convert to fraction form
    98,821.63/148,239.38 = 39,657.34/x
  3. Step 3: Cross multiply
    98,821.63x = 148,239.38 × 39,657.34
  4. Step 4: Simplify right side
    98,821.63x = 5,878,779,295.76
  5. Step 5: Solve for x
    x = 5,878,779,295.76/98,821.63
  6. Step 6: Final answer
    x = 59,488.79

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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.