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Finding the Fourth Proportional to 70,235.29, 105,303.65 and 25,856.35

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Solution

The fourth proportional to 70,235.29, 105,303.65 and 25,856.35 is: 38,766.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,235.29 : 105,303.65 = 25,856.35 : x
  2. Step 2: Convert to fraction form
    70,235.29/105,303.65 = 25,856.35/x
  3. Step 3: Cross multiply
    70,235.29x = 105,303.65 × 25,856.35
  4. Step 4: Simplify right side
    70,235.29x = 2,722,768,030.68
  5. Step 5: Solve for x
    x = 2,722,768,030.68/70,235.29
  6. Step 6: Final answer
    x = 38,766.38

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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.