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Finding the Fourth Proportional to 102,991.40, 144,499 and 102,991.40

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Solution

The fourth proportional to 102,991.40, 144,499 and 102,991.40 is: 144,499

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,991.40 : 144,499 = 102,991.40 : x
  2. Step 2: Convert to fraction form
    102,991.40/144,499 = 102,991.40/x
  3. Step 3: Cross multiply
    102,991.40x = 144,499 × 102,991.40
  4. Step 4: Simplify right side
    102,991.40x = 14,882,154,308.60
  5. Step 5: Solve for x
    x = 14,882,154,308.60/102,991.40
  6. Step 6: Final answer
    x = 144,499

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.