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Finding the Fourth Proportional to 98,632, 136,112.64 and 53,920

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Solution

The fourth proportional to 98,632, 136,112.64 and 53,920 is: 74,409.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,632 : 136,112.64 = 53,920 : x
  2. Step 2: Convert to fraction form
    98,632/136,112.64 = 53,920/x
  3. Step 3: Cross multiply
    98,632x = 136,112.64 × 53,920
  4. Step 4: Simplify right side
    98,632x = 7,339,193,548.80
  5. Step 5: Solve for x
    x = 7,339,193,548.80/98,632
  6. Step 6: Final answer
    x = 74,409.86

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.