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Finding the Fourth Proportional to 78,465.98, 117,483.30 and 54,797.18

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Solution

The fourth proportional to 78,465.98, 117,483.30 and 54,797.18 is: 82,045.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,465.98 : 117,483.30 = 54,797.18 : x
  2. Step 2: Convert to fraction form
    78,465.98/117,483.30 = 54,797.18/x
  3. Step 3: Cross multiply
    78,465.98x = 117,483.30 × 54,797.18
  4. Step 4: Simplify right side
    78,465.98x = 6,437,753,537.09
  5. Step 5: Solve for x
    x = 6,437,753,537.09/78,465.98
  6. Step 6: Final answer
    x = 82,045.16

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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.