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Finding the Fourth Proportional to 148,499, 204,938.40 and 81,431

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Solution

The fourth proportional to 148,499, 204,938.40 and 81,431 is: 112,380.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    148,499 : 204,938.40 = 81,431 : x
  2. Step 2: Convert to fraction form
    148,499/204,938.40 = 81,431/x
  3. Step 3: Cross multiply
    148,499x = 204,938.40 × 81,431
  4. Step 4: Simplify right side
    148,499x = 16,688,338,850.40
  5. Step 5: Solve for x
    x = 16,688,338,850.40/148,499
  6. Step 6: Final answer
    x = 112,380.14

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.