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Finding the Fourth Proportional to 99,771.70, 149,830.35 and 96,661.30

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Solution

The fourth proportional to 99,771.70, 149,830.35 and 96,661.30 is: 145,159.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,771.70 : 149,830.35 = 96,661.30 : x
  2. Step 2: Convert to fraction form
    99,771.70/149,830.35 = 96,661.30/x
  3. Step 3: Cross multiply
    99,771.70x = 149,830.35 × 96,661.30
  4. Step 4: Simplify right side
    99,771.70x = 14,482,796,410.46
  5. Step 5: Solve for x
    x = 14,482,796,410.46/99,771.70
  6. Step 6: Final answer
    x = 145,159.36

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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.