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Finding the Fourth Proportional to 78,587.98, 117,880.81 and 19,423.66

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Solution

The fourth proportional to 78,587.98, 117,880.81 and 19,423.66 is: 29,135.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,587.98 : 117,880.81 = 19,423.66 : x
  2. Step 2: Convert to fraction form
    78,587.98/117,880.81 = 19,423.66/x
  3. Step 3: Cross multiply
    78,587.98x = 117,880.81 × 19,423.66
  4. Step 4: Simplify right side
    78,587.98x = 2,289,676,773.96
  5. Step 5: Solve for x
    x = 2,289,676,773.96/78,587.98
  6. Step 6: Final answer
    x = 29,135.20

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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.