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Finding the Fourth Proportional to 13,609,506.60, 20,414,259.90 and 12,223,823.40

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Solution

The fourth proportional to 13,609,506.60, 20,414,259.90 and 12,223,823.40 is: 18,335,735.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,609,506.60 : 20,414,259.90 = 12,223,823.40 : x
  2. Step 2: Convert to fraction form
    13,609,506.60/20,414,259.90 = 12,223,823.40/x
  3. Step 3: Cross multiply
    13,609,506.60x = 20,414,259.90 × 12,223,823.40
  4. Step 4: Simplify right side
    13,609,506.60x = 249,540,307,859,301.66
  5. Step 5: Solve for x
    x = 249,540,307,859,301.66/13,609,506.60
  6. Step 6: Final answer
    x = 18,335,735.10

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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.