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Finding the Fourth Proportional to 98,149.78, 147,114.32 and 49,983.24

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Solution

The fourth proportional to 98,149.78, 147,114.32 and 49,983.24 is: 74,918.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,149.78 : 147,114.32 = 49,983.24 : x
  2. Step 2: Convert to fraction form
    98,149.78/147,114.32 = 49,983.24/x
  3. Step 3: Cross multiply
    98,149.78x = 147,114.32 × 49,983.24
  4. Step 4: Simplify right side
    98,149.78x = 7,353,250,364.00
  5. Step 5: Solve for x
    x = 7,353,250,364.00/98,149.78
  6. Step 6: Final answer
    x = 74,918.66

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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.