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Finding the Fourth Proportional to 47,228.60, 70,810.10 and 20,919.16

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Solution

The fourth proportional to 47,228.60, 70,810.10 and 20,919.16 is: 31,364.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,228.60 : 70,810.10 = 20,919.16 : x
  2. Step 2: Convert to fraction form
    47,228.60/70,810.10 = 20,919.16/x
  3. Step 3: Cross multiply
    47,228.60x = 70,810.10 × 20,919.16
  4. Step 4: Simplify right side
    47,228.60x = 1,481,287,811.52
  5. Step 5: Solve for x
    x = 1,481,287,811.52/47,228.60
  6. Step 6: Final answer
    x = 31,364.21

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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.