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Finding the Fourth Proportional to 141,306, 211,681.96 and 82,017.36

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Solution

The fourth proportional to 141,306, 211,681.96 and 82,017.36 is: 122,865.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    141,306 : 211,681.96 = 82,017.36 : x
  2. Step 2: Convert to fraction form
    141,306/211,681.96 = 82,017.36/x
  3. Step 3: Cross multiply
    141,306x = 211,681.96 × 82,017.36
  4. Step 4: Simplify right side
    141,306x = 17,361,595,518.83
  5. Step 5: Solve for x
    x = 17,361,595,518.83/141,306
  6. Step 6: Final answer
    x = 122,865.24

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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.