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Finding the Fourth Proportional to 102,646.20, 153,947.70 and 43,483.80

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Solution

The fourth proportional to 102,646.20, 153,947.70 and 43,483.80 is: 65,216.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,646.20 : 153,947.70 = 43,483.80 : x
  2. Step 2: Convert to fraction form
    102,646.20/153,947.70 = 43,483.80/x
  3. Step 3: Cross multiply
    102,646.20x = 153,947.70 × 43,483.80
  4. Step 4: Simplify right side
    102,646.20x = 6,694,230,997.26
  5. Step 5: Solve for x
    x = 6,694,230,997.26/102,646.20
  6. Step 6: Final answer
    x = 65,216.55

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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.