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Finding the Fourth Proportional to 70,411.68, 105,617.93 and 17,821.08

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Solution

The fourth proportional to 70,411.68, 105,617.93 and 17,821.08 is: 26,731.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,411.68 : 105,617.93 = 17,821.08 : x
  2. Step 2: Convert to fraction form
    70,411.68/105,617.93 = 17,821.08/x
  3. Step 3: Cross multiply
    70,411.68x = 105,617.93 × 17,821.08
  4. Step 4: Simplify right side
    70,411.68x = 1,882,225,490.86
  5. Step 5: Solve for x
    x = 1,882,225,490.86/70,411.68
  6. Step 6: Final answer
    x = 26,731.72

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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.