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Finding the Fourth Proportional to 145,828, 218,742 and 47,332

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Solution

The fourth proportional to 145,828, 218,742 and 47,332 is: 70,998

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,828 : 218,742 = 47,332 : x
  2. Step 2: Convert to fraction form
    145,828/218,742 = 47,332/x
  3. Step 3: Cross multiply
    145,828x = 218,742 × 47,332
  4. Step 4: Simplify right side
    145,828x = 10,353,496,344
  5. Step 5: Solve for x
    x = 10,353,496,344/145,828
  6. Step 6: Final answer
    x = 70,998

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.