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Finding the Fourth Proportional to 130,947, 196,420.50 and 32,451

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Solution

The fourth proportional to 130,947, 196,420.50 and 32,451 is: 48,676.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    130,947 : 196,420.50 = 32,451 : x
  2. Step 2: Convert to fraction form
    130,947/196,420.50 = 32,451/x
  3. Step 3: Cross multiply
    130,947x = 196,420.50 × 32,451
  4. Step 4: Simplify right side
    130,947x = 6,374,041,645.50
  5. Step 5: Solve for x
    x = 6,374,041,645.50/130,947
  6. Step 6: Final answer
    x = 48,676.50

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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.