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Finding the Fourth Proportional to 98,821.92, 136,374.32 and 53,500.28

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Solution

The fourth proportional to 98,821.92, 136,374.32 and 53,500.28 is: 73,830.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,821.92 : 136,374.32 = 53,500.28 : x
  2. Step 2: Convert to fraction form
    98,821.92/136,374.32 = 53,500.28/x
  3. Step 3: Cross multiply
    98,821.92x = 136,374.32 × 53,500.28
  4. Step 4: Simplify right side
    98,821.92x = 7,296,064,304.81
  5. Step 5: Solve for x
    x = 7,296,064,304.81/98,821.92
  6. Step 6: Final answer
    x = 73,830.42

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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.