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Finding the Fourth Proportional to 140,902, 211,353.12 and 35,720.80

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Solution

The fourth proportional to 140,902, 211,353.12 and 35,720.80 is: 53,581.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,902 : 211,353.12 = 35,720.80 : x
  2. Step 2: Convert to fraction form
    140,902/211,353.12 = 35,720.80/x
  3. Step 3: Cross multiply
    140,902x = 211,353.12 × 35,720.80
  4. Step 4: Simplify right side
    140,902x = 7,549,702,528.90
  5. Step 5: Solve for x
    x = 7,549,702,528.90/140,902
  6. Step 6: Final answer
    x = 53,581.23

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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.