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Finding the Fourth Proportional to 105,138.54, 157,707 and 26,252.24

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Solution

The fourth proportional to 105,138.54, 157,707 and 26,252.24 is: 39,378.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,138.54 : 157,707 = 26,252.24 : x
  2. Step 2: Convert to fraction form
    105,138.54/157,707 = 26,252.24/x
  3. Step 3: Cross multiply
    105,138.54x = 157,707 × 26,252.24
  4. Step 4: Simplify right side
    105,138.54x = 4,140,161,225.15
  5. Step 5: Solve for x
    x = 4,140,161,225.15/105,138.54
  6. Step 6: Final answer
    x = 39,378.15

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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.