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Finding the Fourth Proportional to 70,405.65, 105,607.56 and 17,098.07

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Solution

The fourth proportional to 70,405.65, 105,607.56 and 17,098.07 is: 25,646.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,405.65 : 105,607.56 = 17,098.07 : x
  2. Step 2: Convert to fraction form
    70,405.65/105,607.56 = 17,098.07/x
  3. Step 3: Cross multiply
    70,405.65x = 105,607.56 × 17,098.07
  4. Step 4: Simplify right side
    70,405.65x = 1,805,684,989.49
  5. Step 5: Solve for x
    x = 1,805,684,989.49/70,405.65
  6. Step 6: Final answer
    x = 25,646.88

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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.