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Finding the Fourth Proportional to 86,894, 119,913.72 and 47,150

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Solution

The fourth proportional to 86,894, 119,913.72 and 47,150 is: 65,067

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,894 : 119,913.72 = 47,150 : x
  2. Step 2: Convert to fraction form
    86,894/119,913.72 = 47,150/x
  3. Step 3: Cross multiply
    86,894x = 119,913.72 × 47,150
  4. Step 4: Simplify right side
    86,894x = 5,653,931,898
  5. Step 5: Solve for x
    x = 5,653,931,898/86,894
  6. Step 6: Final answer
    x = 65,067

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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.