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Finding the Fourth Proportional to 210,865.28, 316,252.20 and 66,782.48

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Solution

The fourth proportional to 210,865.28, 316,252.20 and 66,782.48 is: 100,159.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,865.28 : 316,252.20 = 66,782.48 : x
  2. Step 2: Convert to fraction form
    210,865.28/316,252.20 = 66,782.48/x
  3. Step 3: Cross multiply
    210,865.28x = 316,252.20 × 66,782.48
  4. Step 4: Simplify right side
    210,865.28x = 21,120,106,221.46
  5. Step 5: Solve for x
    x = 21,120,106,221.46/210,865.28
  6. Step 6: Final answer
    x = 100,159.24

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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.