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Finding the Fourth Proportional to 130,903, 196,354.50 and 32,407

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Solution

The fourth proportional to 130,903, 196,354.50 and 32,407 is: 48,610.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    130,903 : 196,354.50 = 32,407 : x
  2. Step 2: Convert to fraction form
    130,903/196,354.50 = 32,407/x
  3. Step 3: Cross multiply
    130,903x = 196,354.50 × 32,407
  4. Step 4: Simplify right side
    130,903x = 6,363,260,281.50
  5. Step 5: Solve for x
    x = 6,363,260,281.50/130,903
  6. Step 6: Final answer
    x = 48,610.50

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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.