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Finding the Fourth Proportional to 78,006.21, 116,915.32 and 35,828.10

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Solution

The fourth proportional to 78,006.21, 116,915.32 and 35,828.10 is: 53,698.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,006.21 : 116,915.32 = 35,828.10 : x
  2. Step 2: Convert to fraction form
    78,006.21/116,915.32 = 35,828.10/x
  3. Step 3: Cross multiply
    78,006.21x = 116,915.32 × 35,828.10
  4. Step 4: Simplify right side
    78,006.21x = 4,188,853,776.49
  5. Step 5: Solve for x
    x = 4,188,853,776.49/78,006.21
  6. Step 6: Final answer
    x = 53,698.98

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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.