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Finding the Fourth Proportional to 211,052.40, 316,309.80 and 86,252.40

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Solution

The fourth proportional to 211,052.40, 316,309.80 and 86,252.40 is: 129,268.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    211,052.40 : 316,309.80 = 86,252.40 : x
  2. Step 2: Convert to fraction form
    211,052.40/316,309.80 = 86,252.40/x
  3. Step 3: Cross multiply
    211,052.40x = 316,309.80 × 86,252.40
  4. Step 4: Simplify right side
    211,052.40x = 27,282,479,393.52
  5. Step 5: Solve for x
    x = 27,282,479,393.52/211,052.40
  6. Step 6: Final answer
    x = 129,268.75

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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.