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Finding the Fourth Proportional to 210,848.45, 316,272.96 and 86,189.45

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Solution

The fourth proportional to 210,848.45, 316,272.96 and 86,189.45 is: 129,284.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,848.45 : 316,272.96 = 86,189.45 : x
  2. Step 2: Convert to fraction form
    210,848.45/316,272.96 = 86,189.45/x
  3. Step 3: Cross multiply
    210,848.45x = 316,272.96 × 86,189.45
  4. Step 4: Simplify right side
    210,848.45x = 27,259,390,890.91
  5. Step 5: Solve for x
    x = 27,259,390,890.91/210,848.45
  6. Step 6: Final answer
    x = 129,284.29

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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.