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Finding the Fourth Proportional to 100,134.75, 138,186.09 and 62,409

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Solution

The fourth proportional to 100,134.75, 138,186.09 and 62,409 is: 86,124.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,134.75 : 138,186.09 = 62,409 : x
  2. Step 2: Convert to fraction form
    100,134.75/138,186.09 = 62,409/x
  3. Step 3: Cross multiply
    100,134.75x = 138,186.09 × 62,409
  4. Step 4: Simplify right side
    100,134.75x = 8,624,055,690.81
  5. Step 5: Solve for x
    x = 8,624,055,690.81/100,134.75
  6. Step 6: Final answer
    x = 86,124.50

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.