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Finding the Fourth Proportional to 98,397.04, 147,638.76 and 51,638.98

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Solution

The fourth proportional to 98,397.04, 147,638.76 and 51,638.98 is: 77,481.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,397.04 : 147,638.76 = 51,638.98 : x
  2. Step 2: Convert to fraction form
    98,397.04/147,638.76 = 51,638.98/x
  3. Step 3: Cross multiply
    98,397.04x = 147,638.76 × 51,638.98
  4. Step 4: Simplify right side
    98,397.04x = 7,623,914,974.86
  5. Step 5: Solve for x
    x = 7,623,914,974.86/98,397.04
  6. Step 6: Final answer
    x = 77,481.14

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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.