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Finding the Fourth Proportional to 78,466.10, 117,699.15 and 72,706.10

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Solution

The fourth proportional to 78,466.10, 117,699.15 and 72,706.10 is: 109,059.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,466.10 : 117,699.15 = 72,706.10 : x
  2. Step 2: Convert to fraction form
    78,466.10/117,699.15 = 72,706.10/x
  3. Step 3: Cross multiply
    78,466.10x = 117,699.15 × 72,706.10
  4. Step 4: Simplify right side
    78,466.10x = 8,557,446,169.82
  5. Step 5: Solve for x
    x = 8,557,446,169.82/78,466.10
  6. Step 6: Final answer
    x = 109,059.15

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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.