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Finding the Fourth Proportional to 141,065.80, 211,598.70 and 105,814.60

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Solution

The fourth proportional to 141,065.80, 211,598.70 and 105,814.60 is: 158,721.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    141,065.80 : 211,598.70 = 105,814.60 : x
  2. Step 2: Convert to fraction form
    141,065.80/211,598.70 = 105,814.60/x
  3. Step 3: Cross multiply
    141,065.80x = 211,598.70 × 105,814.60
  4. Step 4: Simplify right side
    141,065.80x = 22,390,231,801.02
  5. Step 5: Solve for x
    x = 22,390,231,801.02/141,065.80
  6. Step 6: Final answer
    x = 158,721.90

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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.