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Finding the Fourth Proportional to 210,855.38, 316,283.36 and 86,196.38

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Solution

The fourth proportional to 210,855.38, 316,283.36 and 86,196.38 is: 129,294.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,855.38 : 316,283.36 = 86,196.38 : x
  2. Step 2: Convert to fraction form
    210,855.38/316,283.36 = 86,196.38/x
  3. Step 3: Cross multiply
    210,855.38x = 316,283.36 × 86,196.38
  4. Step 4: Simplify right side
    210,855.38x = 27,262,478,673.84
  5. Step 5: Solve for x
    x = 27,262,478,673.84/210,855.38
  6. Step 6: Final answer
    x = 129,294.68

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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.