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Finding the Fourth Proportional to 153,193.80, 211,404.38 and 85,209.32

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Solution

The fourth proportional to 153,193.80, 211,404.38 and 85,209.32 is: 117,587.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,193.80 : 211,404.38 = 85,209.32 : x
  2. Step 2: Convert to fraction form
    153,193.80/211,404.38 = 85,209.32/x
  3. Step 3: Cross multiply
    153,193.80x = 211,404.38 × 85,209.32
  4. Step 4: Simplify right side
    153,193.80x = 18,013,621,981.75
  5. Step 5: Solve for x
    x = 18,013,621,981.75/153,193.80
  6. Step 6: Final answer
    x = 117,587.15

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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.