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Finding the Fourth Proportional to 210,770.36, 316,155.54 and 86,111.36

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Solution

The fourth proportional to 210,770.36, 316,155.54 and 86,111.36 is: 129,167.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,770.36 : 316,155.54 = 86,111.36 : x
  2. Step 2: Convert to fraction form
    210,770.36/316,155.54 = 86,111.36/x
  3. Step 3: Cross multiply
    210,770.36x = 316,155.54 × 86,111.36
  4. Step 4: Simplify right side
    210,770.36x = 27,224,583,520.93
  5. Step 5: Solve for x
    x = 27,224,583,520.93/210,770.36
  6. Step 6: Final answer
    x = 129,167.04

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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.