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Finding the Fourth Proportional to 104,651.40, 156,977.10 and 42,321.90

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Solution

The fourth proportional to 104,651.40, 156,977.10 and 42,321.90 is: 63,482.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    104,651.40 : 156,977.10 = 42,321.90 : x
  2. Step 2: Convert to fraction form
    104,651.40/156,977.10 = 42,321.90/x
  3. Step 3: Cross multiply
    104,651.40x = 156,977.10 × 42,321.90
  4. Step 4: Simplify right side
    104,651.40x = 6,643,569,128.49
  5. Step 5: Solve for x
    x = 6,643,569,128.49/104,651.40
  6. Step 6: Final answer
    x = 63,482.85

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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.