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Finding the Fourth Proportional to 75,410.80, 113,116.20 and 31,008.40

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Solution

The fourth proportional to 75,410.80, 113,116.20 and 31,008.40 is: 46,512.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,410.80 : 113,116.20 = 31,008.40 : x
  2. Step 2: Convert to fraction form
    75,410.80/113,116.20 = 31,008.40/x
  3. Step 3: Cross multiply
    75,410.80x = 113,116.20 × 31,008.40
  4. Step 4: Simplify right side
    75,410.80x = 3,507,552,376.08
  5. Step 5: Solve for x
    x = 3,507,552,376.08/75,410.80
  6. Step 6: Final answer
    x = 46,512.60

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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.