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Finding the Fourth Proportional to 153,469.89, 211,798.17 and 86,406.21

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Solution

The fourth proportional to 153,469.89, 211,798.17 and 86,406.21 is: 119,246.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,469.89 : 211,798.17 = 86,406.21 : x
  2. Step 2: Convert to fraction form
    153,469.89/211,798.17 = 86,406.21/x
  3. Step 3: Cross multiply
    153,469.89x = 211,798.17 × 86,406.21
  4. Step 4: Simplify right side
    153,469.89x = 18,300,677,154.64
  5. Step 5: Solve for x
    x = 18,300,677,154.64/153,469.89
  6. Step 6: Final answer
    x = 119,246.04

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.