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Finding the Fourth Proportional to 210,716.64, 316,118.16 and 70,476.48

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Solution

The fourth proportional to 210,716.64, 316,118.16 and 70,476.48 is: 105,729.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,716.64 : 316,118.16 = 70,476.48 : x
  2. Step 2: Convert to fraction form
    210,716.64/316,118.16 = 70,476.48/x
  3. Step 3: Cross multiply
    210,716.64x = 316,118.16 × 70,476.48
  4. Step 4: Simplify right side
    210,716.64x = 22,278,895,180.88
  5. Step 5: Solve for x
    x = 22,278,895,180.88/210,716.64
  6. Step 6: Final answer
    x = 105,729.17

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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.