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Finding the Fourth Proportional to 31,895,378.40, 47,810,408.40 and 15,696,415.20

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Solution

The fourth proportional to 31,895,378.40, 47,810,408.40 and 15,696,415.20 is: 23,528,550.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,895,378.40 : 47,810,408.40 = 15,696,415.20 : x
  2. Step 2: Convert to fraction form
    31,895,378.40/47,810,408.40 = 15,696,415.20/x
  3. Step 3: Cross multiply
    31,895,378.40x = 47,810,408.40 × 15,696,415.20
  4. Step 4: Simplify right side
    31,895,378.40x = 750,452,021,127,967.62
  5. Step 5: Solve for x
    x = 750,452,021,127,967.62/31,895,378.40
  6. Step 6: Final answer
    x = 23,528,550.49

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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.