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Finding the Fourth Proportional to 70,154.56, 105,231.83 and 25,762.10

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Solution

The fourth proportional to 70,154.56, 105,231.83 and 25,762.10 is: 38,643.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,154.56 : 105,231.83 = 25,762.10 : x
  2. Step 2: Convert to fraction form
    70,154.56/105,231.83 = 25,762.10/x
  3. Step 3: Cross multiply
    70,154.56x = 105,231.83 × 25,762.10
  4. Step 4: Simplify right side
    70,154.56x = 2,710,993,081.97
  5. Step 5: Solve for x
    x = 2,710,993,081.97/70,154.56
  6. Step 6: Final answer
    x = 38,643.15

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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.