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Finding the Fourth Proportional to 27,668,214.40, 41,502,321.60 and 13,287,814.60

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Solution

The fourth proportional to 27,668,214.40, 41,502,321.60 and 13,287,814.60 is: 19,931,721.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,668,214.40 : 41,502,321.60 = 13,287,814.60 : x
  2. Step 2: Convert to fraction form
    27,668,214.40/41,502,321.60 = 13,287,814.60/x
  3. Step 3: Cross multiply
    27,668,214.40x = 41,502,321.60 × 13,287,814.60
  4. Step 4: Simplify right side
    27,668,214.40x = 551,475,154,890,375.38
  5. Step 5: Solve for x
    x = 551,475,154,890,375.38/27,668,214.40
  6. Step 6: Final answer
    x = 19,931,721.90

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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.