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Finding the Fourth Proportional to 141,319.20, 211,978.80 and 137,223.20

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Solution

The fourth proportional to 141,319.20, 211,978.80 and 137,223.20 is: 205,834.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    141,319.20 : 211,978.80 = 137,223.20 : x
  2. Step 2: Convert to fraction form
    141,319.20/211,978.80 = 137,223.20/x
  3. Step 3: Cross multiply
    141,319.20x = 211,978.80 × 137,223.20
  4. Step 4: Simplify right side
    141,319.20x = 29,088,409,268.16
  5. Step 5: Solve for x
    x = 29,088,409,268.16/141,319.20
  6. Step 6: Final answer
    x = 205,834.80

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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.