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Finding the Fourth Proportional to 70,545.96, 105,822.18 and 17,955.90

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Solution

The fourth proportional to 70,545.96, 105,822.18 and 17,955.90 is: 26,934.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,545.96 : 105,822.18 = 17,955.90 : x
  2. Step 2: Convert to fraction form
    70,545.96/105,822.18 = 17,955.90/x
  3. Step 3: Cross multiply
    70,545.96x = 105,822.18 × 17,955.90
  4. Step 4: Simplify right side
    70,545.96x = 1,900,132,481.86
  5. Step 5: Solve for x
    x = 1,900,132,481.86/70,545.96
  6. Step 6: Final answer
    x = 26,934.67

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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.