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Finding the Fourth Proportional to 153,820.29, 212,272.04 and 84,909.80

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Solution

The fourth proportional to 153,820.29, 212,272.04 and 84,909.80 is: 117,175.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,820.29 : 212,272.04 = 84,909.80 : x
  2. Step 2: Convert to fraction form
    153,820.29/212,272.04 = 84,909.80/x
  3. Step 3: Cross multiply
    153,820.29x = 212,272.04 × 84,909.80
  4. Step 4: Simplify right side
    153,820.29x = 18,023,975,612.91
  5. Step 5: Solve for x
    x = 18,023,975,612.91/153,820.29
  6. Step 6: Final answer
    x = 117,175.54

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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.