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Finding the Fourth Proportional to 99,902.60, 149,834.70 and 29,784.20

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Solution

The fourth proportional to 99,902.60, 149,834.70 and 29,784.20 is: 44,670.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,902.60 : 149,834.70 = 29,784.20 : x
  2. Step 2: Convert to fraction form
    99,902.60/149,834.70 = 29,784.20/x
  3. Step 3: Cross multiply
    99,902.60x = 149,834.70 × 29,784.20
  4. Step 4: Simplify right side
    99,902.60x = 4,462,706,671.74
  5. Step 5: Solve for x
    x = 4,462,706,671.74/99,902.60
  6. Step 6: Final answer
    x = 44,670.58

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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.