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Finding the Fourth Proportional to 212,858.72, 319,649.63 and 142,235.12

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Solution

The fourth proportional to 212,858.72, 319,649.63 and 142,235.12 is: 213,594.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    212,858.72 : 319,649.63 = 142,235.12 : x
  2. Step 2: Convert to fraction form
    212,858.72/319,649.63 = 142,235.12/x
  3. Step 3: Cross multiply
    212,858.72x = 319,649.63 × 142,235.12
  4. Step 4: Simplify right side
    212,858.72x = 45,465,403,568.95
  5. Step 5: Solve for x
    x = 45,465,403,568.95/212,858.72
  6. Step 6: Final answer
    x = 213,594.27

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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.