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Finding the Fourth Proportional to 78,535.72, 117,823.02 and 36,973

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Solution

The fourth proportional to 78,535.72, 117,823.02 and 36,973 is: 55,468.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,535.72 : 117,823.02 = 36,973 : x
  2. Step 2: Convert to fraction form
    78,535.72/117,823.02 = 36,973/x
  3. Step 3: Cross multiply
    78,535.72x = 117,823.02 × 36,973
  4. Step 4: Simplify right side
    78,535.72x = 4,356,270,518.46
  5. Step 5: Solve for x
    x = 4,356,270,518.46/78,535.72
  6. Step 6: Final answer
    x = 55,468.65

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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.