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Finding the Fourth Proportional to 188,282.40, 282,391.20 and 69,892.80

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Solution

The fourth proportional to 188,282.40, 282,391.20 and 69,892.80 is: 104,827.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    188,282.40 : 282,391.20 = 69,892.80 : x
  2. Step 2: Convert to fraction form
    188,282.40/282,391.20 = 69,892.80/x
  3. Step 3: Cross multiply
    188,282.40x = 282,391.20 × 69,892.80
  4. Step 4: Simplify right side
    188,282.40x = 19,737,111,663.36
  5. Step 5: Solve for x
    x = 19,737,111,663.36/188,282.40
  6. Step 6: Final answer
    x = 104,827.17

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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.