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Finding the Fourth Proportional to 199,322.84, 298,827.29 and 99,431.62

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Solution

The fourth proportional to 199,322.84, 298,827.29 and 99,431.62 is: 149,069.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,322.84 : 298,827.29 = 99,431.62 : x
  2. Step 2: Convert to fraction form
    199,322.84/298,827.29 = 99,431.62/x
  3. Step 3: Cross multiply
    199,322.84x = 298,827.29 × 99,431.62
  4. Step 4: Simplify right side
    199,322.84x = 29,712,881,046.42
  5. Step 5: Solve for x
    x = 29,712,881,046.42/199,322.84
  6. Step 6: Final answer
    x = 149,069.12

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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.