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Finding the Fourth Proportional to 210,713.91, 316,071.16 and 86,054.91

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Solution

The fourth proportional to 210,713.91, 316,071.16 and 86,054.91 is: 129,082.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,713.91 : 316,071.16 = 86,054.91 : x
  2. Step 2: Convert to fraction form
    210,713.91/316,071.16 = 86,054.91/x
  3. Step 3: Cross multiply
    210,713.91x = 316,071.16 × 86,054.91
  4. Step 4: Simplify right side
    210,713.91x = 27,199,474,311.05
  5. Step 5: Solve for x
    x = 27,199,474,311.05/210,713.91
  6. Step 6: Final answer
    x = 129,082.48

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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.