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Finding the Fourth Proportional to 210,703.72, 316,055.84 and 86,044.72

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Solution

The fourth proportional to 210,703.72, 316,055.84 and 86,044.72 is: 129,067.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,703.72 : 316,055.84 = 86,044.72 : x
  2. Step 2: Convert to fraction form
    210,703.72/316,055.84 = 86,044.72/x
  3. Step 3: Cross multiply
    210,703.72x = 316,055.84 × 86,044.72
  4. Step 4: Simplify right side
    210,703.72x = 27,194,936,257.16
  5. Step 5: Solve for x
    x = 27,194,936,257.16/210,703.72
  6. Step 6: Final answer
    x = 129,067.19

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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.