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Finding the Fourth Proportional to 76,019, 114,032.28 and 53,857.40

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Solution

The fourth proportional to 76,019, 114,032.28 and 53,857.40 is: 80,788.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,019 : 114,032.28 = 53,857.40 : x
  2. Step 2: Convert to fraction form
    76,019/114,032.28 = 53,857.40/x
  3. Step 3: Cross multiply
    76,019x = 114,032.28 × 53,857.40
  4. Step 4: Simplify right side
    76,019x = 6,141,482,116.87
  5. Step 5: Solve for x
    x = 6,141,482,116.87/76,019
  6. Step 6: Final answer
    x = 80,788.78

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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.