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Finding the Fourth Proportional to 119,140.80, 178,711.20 and 99,895.20

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Solution

The fourth proportional to 119,140.80, 178,711.20 and 99,895.20 is: 149,842.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,140.80 : 178,711.20 = 99,895.20 : x
  2. Step 2: Convert to fraction form
    119,140.80/178,711.20 = 99,895.20/x
  3. Step 3: Cross multiply
    119,140.80x = 178,711.20 × 99,895.20
  4. Step 4: Simplify right side
    119,140.80x = 17,852,391,066.24
  5. Step 5: Solve for x
    x = 17,852,391,066.24/119,140.80
  6. Step 6: Final answer
    x = 149,842.80

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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.