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Finding the Fourth Proportional to 124,015.87, 186,023.81 and 39,784.78

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Solution

The fourth proportional to 124,015.87, 186,023.81 and 39,784.78 is: 59,677.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    124,015.87 : 186,023.81 = 39,784.78 : x
  2. Step 2: Convert to fraction form
    124,015.87/186,023.81 = 39,784.78/x
  3. Step 3: Cross multiply
    124,015.87x = 186,023.81 × 39,784.78
  4. Step 4: Simplify right side
    124,015.87x = 7,400,916,355.61
  5. Step 5: Solve for x
    x = 7,400,916,355.61/124,015.87
  6. Step 6: Final answer
    x = 59,677.17

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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.