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Finding the Fourth Proportional to 213,381.60, 319,780.80 and 142,101.60

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Solution

The fourth proportional to 213,381.60, 319,780.80 and 142,101.60 is: 212,958.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,381.60 : 319,780.80 = 142,101.60 : x
  2. Step 2: Convert to fraction form
    213,381.60/319,780.80 = 142,101.60/x
  3. Step 3: Cross multiply
    213,381.60x = 319,780.80 × 142,101.60
  4. Step 4: Simplify right side
    213,381.60x = 45,441,363,329.28
  5. Step 5: Solve for x
    x = 45,441,363,329.28/213,381.60
  6. Step 6: Final answer
    x = 212,958.21

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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.