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Finding the Fourth Proportional to 210,857.60, 316,329.60 and 70,716.80

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Solution

The fourth proportional to 210,857.60, 316,329.60 and 70,716.80 is: 106,089.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,857.60 : 316,329.60 = 70,716.80 : x
  2. Step 2: Convert to fraction form
    210,857.60/316,329.60 = 70,716.80/x
  3. Step 3: Cross multiply
    210,857.60x = 316,329.60 × 70,716.80
  4. Step 4: Simplify right side
    210,857.60x = 22,369,817,057.28
  5. Step 5: Solve for x
    x = 22,369,817,057.28/210,857.60
  6. Step 6: Final answer
    x = 106,089.69

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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.