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Finding the Fourth Proportional to 70,405.86, 105,607.88 and 17,098.28

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Solution

The fourth proportional to 70,405.86, 105,607.88 and 17,098.28 is: 25,647.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,405.86 : 105,607.88 = 17,098.28 : x
  2. Step 2: Convert to fraction form
    70,405.86/105,607.88 = 17,098.28/x
  3. Step 3: Cross multiply
    70,405.86x = 105,607.88 × 17,098.28
  4. Step 4: Simplify right side
    70,405.86x = 1,805,712,652.04
  5. Step 5: Solve for x
    x = 1,805,712,652.04/70,405.86
  6. Step 6: Final answer
    x = 25,647.19

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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.