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Finding the Fourth Proportional to 70,875.84, 106,314.22 and 18,285.78

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Solution

The fourth proportional to 70,875.84, 106,314.22 and 18,285.78 is: 27,428.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,875.84 : 106,314.22 = 18,285.78 : x
  2. Step 2: Convert to fraction form
    70,875.84/106,314.22 = 18,285.78/x
  3. Step 3: Cross multiply
    70,875.84x = 106,314.22 × 18,285.78
  4. Step 4: Simplify right side
    70,875.84x = 1,944,038,859.33
  5. Step 5: Solve for x
    x = 1,944,038,859.33/70,875.84
  6. Step 6: Final answer
    x = 27,428.79

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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.