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Finding the Fourth Proportional to 70,416.74, 105,642.40 and 20,497.28

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Solution

The fourth proportional to 70,416.74, 105,642.40 and 20,497.28 is: 30,750.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,416.74 : 105,642.40 = 20,497.28 : x
  2. Step 2: Convert to fraction form
    70,416.74/105,642.40 = 20,497.28/x
  3. Step 3: Cross multiply
    70,416.74x = 105,642.40 × 20,497.28
  4. Step 4: Simplify right side
    70,416.74x = 2,165,381,852.67
  5. Step 5: Solve for x
    x = 2,165,381,852.67/70,416.74
  6. Step 6: Final answer
    x = 30,750.95

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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.