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Finding the Fourth Proportional to 98,930, 136,523.40 and 54,218

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Solution

The fourth proportional to 98,930, 136,523.40 and 54,218 is: 74,820.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,930 : 136,523.40 = 54,218 : x
  2. Step 2: Convert to fraction form
    98,930/136,523.40 = 54,218/x
  3. Step 3: Cross multiply
    98,930x = 136,523.40 × 54,218
  4. Step 4: Simplify right side
    98,930x = 7,402,025,701.20
  5. Step 5: Solve for x
    x = 7,402,025,701.20/98,930
  6. Step 6: Final answer
    x = 74,820.84

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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.