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Finding the Fourth Proportional to 98,640, 136,123.68 and 53,928

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Solution

The fourth proportional to 98,640, 136,123.68 and 53,928 is: 74,420.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,640 : 136,123.68 = 53,928 : x
  2. Step 2: Convert to fraction form
    98,640/136,123.68 = 53,928/x
  3. Step 3: Cross multiply
    98,640x = 136,123.68 × 53,928
  4. Step 4: Simplify right side
    98,640x = 7,340,877,815.04
  5. Step 5: Solve for x
    x = 7,340,877,815.04/98,640
  6. Step 6: Final answer
    x = 74,420.90

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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.