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Finding the Fourth Proportional to 77,846.91, 116,759.78 and 30,429

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Solution

The fourth proportional to 77,846.91, 116,759.78 and 30,429 is: 45,639.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,846.91 : 116,759.78 = 30,429 : x
  2. Step 2: Convert to fraction form
    77,846.91/116,759.78 = 30,429/x
  3. Step 3: Cross multiply
    77,846.91x = 116,759.78 × 30,429
  4. Step 4: Simplify right side
    77,846.91x = 3,552,883,307.58
  5. Step 5: Solve for x
    x = 3,552,883,307.58/77,846.91
  6. Step 6: Final answer
    x = 45,639.36

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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.