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Finding the Fourth Proportional to 140,202.70, 209,934.99 and 83,909.32

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Solution

The fourth proportional to 140,202.70, 209,934.99 and 83,909.32 is: 125,643.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,202.70 : 209,934.99 = 83,909.32 : x
  2. Step 2: Convert to fraction form
    140,202.70/209,934.99 = 83,909.32/x
  3. Step 3: Cross multiply
    140,202.70x = 209,934.99 × 83,909.32
  4. Step 4: Simplify right side
    140,202.70x = 17,615,501,730.27
  5. Step 5: Solve for x
    x = 17,615,501,730.27/140,202.70
  6. Step 6: Final answer
    x = 125,643.10

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1.5x scale

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.