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Finding the Fourth Proportional to 201,470.60, 302,205.90 and 121,291.40

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Solution

The fourth proportional to 201,470.60, 302,205.90 and 121,291.40 is: 181,937.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,470.60 : 302,205.90 = 121,291.40 : x
  2. Step 2: Convert to fraction form
    201,470.60/302,205.90 = 121,291.40/x
  3. Step 3: Cross multiply
    201,470.60x = 302,205.90 × 121,291.40
  4. Step 4: Simplify right side
    201,470.60x = 36,654,976,699.26
  5. Step 5: Solve for x
    x = 36,654,976,699.26/201,470.60
  6. Step 6: Final answer
    x = 181,937.10

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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.