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Finding the Fourth Proportional to 76,792.16, 115,140.72 and 29,990

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Solution

The fourth proportional to 76,792.16, 115,140.72 and 29,990 is: 44,966.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,792.16 : 115,140.72 = 29,990 : x
  2. Step 2: Convert to fraction form
    76,792.16/115,140.72 = 29,990/x
  3. Step 3: Cross multiply
    76,792.16x = 115,140.72 × 29,990
  4. Step 4: Simplify right side
    76,792.16x = 3,453,070,192.80
  5. Step 5: Solve for x
    x = 3,453,070,192.80/76,792.16
  6. Step 6: Final answer
    x = 44,966.44

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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.