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Finding the Fourth Proportional to 145,162.84, 217,742.33 and 70,289.68

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Solution

The fourth proportional to 145,162.84, 217,742.33 and 70,289.68 is: 105,433.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,162.84 : 217,742.33 = 70,289.68 : x
  2. Step 2: Convert to fraction form
    145,162.84/217,742.33 = 70,289.68/x
  3. Step 3: Cross multiply
    145,162.84x = 217,742.33 × 70,289.68
  4. Step 4: Simplify right side
    145,162.84x = 15,305,038,698.15
  5. Step 5: Solve for x
    x = 15,305,038,698.15/145,162.84
  6. Step 6: Final answer
    x = 105,433.59

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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.