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Finding the Fourth Proportional to 211,053.84, 316,578.12 and 84,750

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Solution

The fourth proportional to 211,053.84, 316,578.12 and 84,750 is: 127,123.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    211,053.84 : 316,578.12 = 84,750 : x
  2. Step 2: Convert to fraction form
    211,053.84/316,578.12 = 84,750/x
  3. Step 3: Cross multiply
    211,053.84x = 316,578.12 × 84,750
  4. Step 4: Simplify right side
    211,053.84x = 26,829,995,670
  5. Step 5: Solve for x
    x = 26,829,995,670/211,053.84
  6. Step 6: Final answer
    x = 127,123.94

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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.