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Finding the Fourth Proportional to 104,050.50, 156,101.67 and 30,178.50

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Solution

The fourth proportional to 104,050.50, 156,101.67 and 30,178.50 is: 45,275.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    104,050.50 : 156,101.67 = 30,178.50 : x
  2. Step 2: Convert to fraction form
    104,050.50/156,101.67 = 30,178.50/x
  3. Step 3: Cross multiply
    104,050.50x = 156,101.67 × 30,178.50
  4. Step 4: Simplify right side
    104,050.50x = 4,710,914,248.10
  5. Step 5: Solve for x
    x = 4,710,914,248.10/104,050.50
  6. Step 6: Final answer
    x = 45,275.27

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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.