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Finding the Fourth Proportional to 145,474.44, 200,713.32 and 87,307.54

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Solution

The fourth proportional to 145,474.44, 200,713.32 and 87,307.54 is: 120,459.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,474.44 : 200,713.32 = 87,307.54 : x
  2. Step 2: Convert to fraction form
    145,474.44/200,713.32 = 87,307.54/x
  3. Step 3: Cross multiply
    145,474.44x = 200,713.32 × 87,307.54
  4. Step 4: Simplify right side
    145,474.44x = 17,523,786,214.43
  5. Step 5: Solve for x
    x = 17,523,786,214.43/145,474.44
  6. Step 6: Final answer
    x = 120,459.55

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.