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Finding the Fourth Proportional to 210,963.56, 316,445.58 and 77,786.12

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Solution

The fourth proportional to 210,963.56, 316,445.58 and 77,786.12 is: 116,679.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,963.56 : 316,445.58 = 77,786.12 : x
  2. Step 2: Convert to fraction form
    210,963.56/316,445.58 = 77,786.12/x
  3. Step 3: Cross multiply
    210,963.56x = 316,445.58 × 77,786.12
  4. Step 4: Simplify right side
    210,963.56x = 24,615,073,859.35
  5. Step 5: Solve for x
    x = 24,615,073,859.35/210,963.56
  6. Step 6: Final answer
    x = 116,679.27

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1.5x scale

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.