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Finding the Fourth Proportional to 210,702.72, 316,054.34 and 86,043.72

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Solution

The fourth proportional to 210,702.72, 316,054.34 and 86,043.72 is: 129,065.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,702.72 : 316,054.34 = 86,043.72 : x
  2. Step 2: Convert to fraction form
    210,702.72/316,054.34 = 86,043.72/x
  3. Step 3: Cross multiply
    210,702.72x = 316,054.34 × 86,043.72
  4. Step 4: Simplify right side
    210,702.72x = 27,194,491,135.74
  5. Step 5: Solve for x
    x = 27,194,491,135.74/210,702.72
  6. Step 6: Final answer
    x = 129,065.69

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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.