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Finding the Fourth Proportional to 213,612.90, 320,419.35 and 55,857.30

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Solution

The fourth proportional to 213,612.90, 320,419.35 and 55,857.30 is: 83,785.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,612.90 : 320,419.35 = 55,857.30 : x
  2. Step 2: Convert to fraction form
    213,612.90/320,419.35 = 55,857.30/x
  3. Step 3: Cross multiply
    213,612.90x = 320,419.35 × 55,857.30
  4. Step 4: Simplify right side
    213,612.90x = 17,897,759,758.76
  5. Step 5: Solve for x
    x = 17,897,759,758.76/213,612.90
  6. Step 6: Final answer
    x = 83,785.95

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1.5x scale

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.