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Finding the Fourth Proportional to 98,147.78, 147,111.32 and 49,981.24

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Solution

The fourth proportional to 98,147.78, 147,111.32 and 49,981.24 is: 74,915.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,147.78 : 147,111.32 = 49,981.24 : x
  2. Step 2: Convert to fraction form
    98,147.78/147,111.32 = 49,981.24/x
  3. Step 3: Cross multiply
    98,147.78x = 147,111.32 × 49,981.24
  4. Step 4: Simplify right side
    98,147.78x = 7,352,806,191.64
  5. Step 5: Solve for x
    x = 7,352,806,191.64/98,147.78
  6. Step 6: Final answer
    x = 74,915.66

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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.