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Finding the Fourth Proportional to 31,486,720.90, 47,230,081.35 and 31,486,720.90

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Solution

The fourth proportional to 31,486,720.90, 47,230,081.35 and 31,486,720.90 is: 47,230,081.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,486,720.90 : 47,230,081.35 = 31,486,720.90 : x
  2. Step 2: Convert to fraction form
    31,486,720.90/47,230,081.35 = 31,486,720.90/x
  3. Step 3: Cross multiply
    31,486,720.90x = 47,230,081.35 × 31,486,720.90
  4. Step 4: Simplify right side
    31,486,720.90x = 1,487,120,389,551,745.25
  5. Step 5: Solve for x
    x = 1,487,120,389,551,745.25/31,486,720.90
  6. Step 6: Final answer
    x = 47,230,081.35

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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.