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Finding the Fourth Proportional to 141,437.78, 211,872.56 and 65,429.84

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Solution

The fourth proportional to 141,437.78, 211,872.56 and 65,429.84 is: 98,013.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    141,437.78 : 211,872.56 = 65,429.84 : x
  2. Step 2: Convert to fraction form
    141,437.78/211,872.56 = 65,429.84/x
  3. Step 3: Cross multiply
    141,437.78x = 211,872.56 × 65,429.84
  4. Step 4: Simplify right side
    141,437.78x = 13,862,787,701.19
  5. Step 5: Solve for x
    x = 13,862,787,701.19/141,437.78
  6. Step 6: Final answer
    x = 98,013.33

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.