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Finding the Fourth Proportional to 213,420.76, 319,875.40 and 99,414.88

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Solution

The fourth proportional to 213,420.76, 319,875.40 and 99,414.88 is: 149,003.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,420.76 : 319,875.40 = 99,414.88 : x
  2. Step 2: Convert to fraction form
    213,420.76/319,875.40 = 99,414.88/x
  3. Step 3: Cross multiply
    213,420.76x = 319,875.40 × 99,414.88
  4. Step 4: Simplify right side
    213,420.76x = 31,800,374,505.95
  5. Step 5: Solve for x
    x = 31,800,374,505.95/213,420.76
  6. Step 6: Final answer
    x = 149,003.19

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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.