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Finding the Fourth Proportional to 152,768, 210,821.28 and 85,701.44

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Solution

The fourth proportional to 152,768, 210,821.28 and 85,701.44 is: 118,268.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,768 : 210,821.28 = 85,701.44 : x
  2. Step 2: Convert to fraction form
    152,768/210,821.28 = 85,701.44/x
  3. Step 3: Cross multiply
    152,768x = 210,821.28 × 85,701.44
  4. Step 4: Simplify right side
    152,768x = 18,067,687,278.64
  5. Step 5: Solve for x
    x = 18,067,687,278.64/152,768
  6. Step 6: Final answer
    x = 118,268.80

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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.