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Finding the Fourth Proportional to 210,877.10, 316,315.65 and 86,188.94

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Solution

The fourth proportional to 210,877.10, 316,315.65 and 86,188.94 is: 129,283.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,877.10 : 316,315.65 = 86,188.94 : x
  2. Step 2: Convert to fraction form
    210,877.10/316,315.65 = 86,188.94/x
  3. Step 3: Cross multiply
    210,877.10x = 316,315.65 × 86,188.94
  4. Step 4: Simplify right side
    210,877.10x = 27,262,910,578.91
  5. Step 5: Solve for x
    x = 27,262,910,578.91/210,877.10
  6. Step 6: Final answer
    x = 129,283.41

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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.