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Finding the Fourth Proportional to 43,335.47, 65,014.14 and 19,978.31

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Solution

The fourth proportional to 43,335.47, 65,014.14 and 19,978.31 is: 29,972.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,335.47 : 65,014.14 = 19,978.31 : x
  2. Step 2: Convert to fraction form
    43,335.47/65,014.14 = 19,978.31/x
  3. Step 3: Cross multiply
    43,335.47x = 65,014.14 × 19,978.31
  4. Step 4: Simplify right side
    43,335.47x = 1,298,872,643.30
  5. Step 5: Solve for x
    x = 1,298,872,643.30/43,335.47
  6. Step 6: Final answer
    x = 29,972.51

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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.