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Finding the Fourth Proportional to 153,190, 211,402.20 and 86,122.48

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Solution

The fourth proportional to 153,190, 211,402.20 and 86,122.48 is: 118,849.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,190 : 211,402.20 = 86,122.48 : x
  2. Step 2: Convert to fraction form
    153,190/211,402.20 = 86,122.48/x
  3. Step 3: Cross multiply
    153,190x = 211,402.20 × 86,122.48
  4. Step 4: Simplify right side
    153,190x = 18,206,481,741.46
  5. Step 5: Solve for x
    x = 18,206,481,741.46/153,190
  6. Step 6: Final answer
    x = 118,849.02

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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.