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Finding the Fourth Proportional to 201,782.34, 278,566.49 and 156,358.35

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Solution

The fourth proportional to 201,782.34, 278,566.49 and 156,358.35 is: 215,857.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,782.34 : 278,566.49 = 156,358.35 : x
  2. Step 2: Convert to fraction form
    201,782.34/278,566.49 = 156,358.35/x
  3. Step 3: Cross multiply
    201,782.34x = 278,566.49 × 156,358.35
  4. Step 4: Simplify right side
    201,782.34x = 43,556,197,132.59
  5. Step 5: Solve for x
    x = 43,556,197,132.59/201,782.34
  6. Step 6: Final answer
    x = 215,857.33

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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.