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Finding the Fourth Proportional to 145,874.70, 218,812.05 and 145,874.70

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Solution

The fourth proportional to 145,874.70, 218,812.05 and 145,874.70 is: 218,812.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,874.70 : 218,812.05 = 145,874.70 : x
  2. Step 2: Convert to fraction form
    145,874.70/218,812.05 = 145,874.70/x
  3. Step 3: Cross multiply
    145,874.70x = 218,812.05 × 145,874.70
  4. Step 4: Simplify right side
    145,874.70x = 31,919,142,150.14
  5. Step 5: Solve for x
    x = 31,919,142,150.14/145,874.70
  6. Step 6: Final answer
    x = 218,812.05

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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.