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Finding the Fourth Proportional to 145,052.84, 217,542.34 and 45,194.42

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Solution

The fourth proportional to 145,052.84, 217,542.34 and 45,194.42 is: 67,780.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,052.84 : 217,542.34 = 45,194.42 : x
  2. Step 2: Convert to fraction form
    145,052.84/217,542.34 = 45,194.42/x
  3. Step 3: Cross multiply
    145,052.84x = 217,542.34 × 45,194.42
  4. Step 4: Simplify right side
    145,052.84x = 9,831,699,881.74
  5. Step 5: Solve for x
    x = 9,831,699,881.74/145,052.84
  6. Step 6: Final answer
    x = 67,780.13

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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.