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Finding the Fourth Proportional to 205,140.71, 282,871.01 and 133,387.67

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Solution

The fourth proportional to 205,140.71, 282,871.01 and 133,387.67 is: 183,929.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,140.71 : 282,871.01 = 133,387.67 : x
  2. Step 2: Convert to fraction form
    205,140.71/282,871.01 = 133,387.67/x
  3. Step 3: Cross multiply
    205,140.71x = 282,871.01 × 133,387.67
  4. Step 4: Simplify right side
    205,140.71x = 37,731,504,267.51
  5. Step 5: Solve for x
    x = 37,731,504,267.51/205,140.71
  6. Step 6: Final answer
    x = 183,929.87

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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.