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Finding the Fourth Proportional to 57,942.83, 86,970.42 and 27,978.19

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Solution

The fourth proportional to 57,942.83, 86,970.42 and 27,978.19 is: 41,994.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,942.83 : 86,970.42 = 27,978.19 : x
  2. Step 2: Convert to fraction form
    57,942.83/86,970.42 = 27,978.19/x
  3. Step 3: Cross multiply
    57,942.83x = 86,970.42 × 27,978.19
  4. Step 4: Simplify right side
    57,942.83x = 2,433,274,717.71
  5. Step 5: Solve for x
    x = 2,433,274,717.71/57,942.83
  6. Step 6: Final answer
    x = 41,994.40

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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.