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Finding the Fourth Proportional to 98,748, 136,275.68 and 54,036

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Solution

The fourth proportional to 98,748, 136,275.68 and 54,036 is: 74,571.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,748 : 136,275.68 = 54,036 : x
  2. Step 2: Convert to fraction form
    98,748/136,275.68 = 54,036/x
  3. Step 3: Cross multiply
    98,748x = 136,275.68 × 54,036
  4. Step 4: Simplify right side
    98,748x = 7,363,792,644.48
  5. Step 5: Solve for x
    x = 7,363,792,644.48/98,748
  6. Step 6: Final answer
    x = 74,571.56

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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.