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Finding the Fourth Proportional to 124,604.64, 186,906 and 31,109.76

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Solution

The fourth proportional to 124,604.64, 186,906 and 31,109.76 is: 46,664.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    124,604.64 : 186,906 = 31,109.76 : x
  2. Step 2: Convert to fraction form
    124,604.64/186,906 = 31,109.76/x
  3. Step 3: Cross multiply
    124,604.64x = 186,906 × 31,109.76
  4. Step 4: Simplify right side
    124,604.64x = 5,814,600,802.56
  5. Step 5: Solve for x
    x = 5,814,600,802.56/124,604.64
  6. Step 6: Final answer
    x = 46,664.40

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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.