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Finding the Fourth Proportional to 98,990, 136,612.72 and 54,278

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Solution

The fourth proportional to 98,990, 136,612.72 and 54,278 is: 74,907.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,990 : 136,612.72 = 54,278 : x
  2. Step 2: Convert to fraction form
    98,990/136,612.72 = 54,278/x
  3. Step 3: Cross multiply
    98,990x = 136,612.72 × 54,278
  4. Step 4: Simplify right side
    98,990x = 7,415,065,216.16
  5. Step 5: Solve for x
    x = 7,415,065,216.16/98,990
  6. Step 6: Final answer
    x = 74,907.22

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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.