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Finding the Fourth Proportional to 78,798.56, 118,163.28 and 29,516

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Solution

The fourth proportional to 78,798.56, 118,163.28 and 29,516 is: 44,261.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,798.56 : 118,163.28 = 29,516 : x
  2. Step 2: Convert to fraction form
    78,798.56/118,163.28 = 29,516/x
  3. Step 3: Cross multiply
    78,798.56x = 118,163.28 × 29,516
  4. Step 4: Simplify right side
    78,798.56x = 3,487,707,372.48
  5. Step 5: Solve for x
    x = 3,487,707,372.48/78,798.56
  6. Step 6: Final answer
    x = 44,261.05

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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.