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Finding the Fourth Proportional to 188,757.16, 282,938.30 and 70,377

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Solution

The fourth proportional to 188,757.16, 282,938.30 and 70,377 is: 105,491.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    188,757.16 : 282,938.30 = 70,377 : x
  2. Step 2: Convert to fraction form
    188,757.16/282,938.30 = 70,377/x
  3. Step 3: Cross multiply
    188,757.16x = 282,938.30 × 70,377
  4. Step 4: Simplify right side
    188,757.16x = 19,912,348,739.10
  5. Step 5: Solve for x
    x = 19,912,348,739.10/188,757.16
  6. Step 6: Final answer
    x = 105,491.89

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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.