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Finding the Fourth Proportional to 98,699.84, 147,996.46 and 51,197.18

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Solution

The fourth proportional to 98,699.84, 147,996.46 and 51,197.18 is: 76,768.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,699.84 : 147,996.46 = 51,197.18 : x
  2. Step 2: Convert to fraction form
    98,699.84/147,996.46 = 51,197.18/x
  3. Step 3: Cross multiply
    98,699.84x = 147,996.46 × 51,197.18
  4. Step 4: Simplify right side
    98,699.84x = 7,577,001,401.98
  5. Step 5: Solve for x
    x = 7,577,001,401.98/98,699.84
  6. Step 6: Final answer
    x = 76,768.12

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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.