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Finding the Fourth Proportional to 109,865, 164,699.74 and 39,728.72

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Solution

The fourth proportional to 109,865, 164,699.74 and 39,728.72 is: 59,557.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,865 : 164,699.74 = 39,728.72 : x
  2. Step 2: Convert to fraction form
    109,865/164,699.74 = 39,728.72/x
  3. Step 3: Cross multiply
    109,865x = 164,699.74 × 39,728.72
  4. Step 4: Simplify right side
    109,865x = 6,543,309,854.53
  5. Step 5: Solve for x
    x = 6,543,309,854.53/109,865
  6. Step 6: Final answer
    x = 59,557.73

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1.5x scale

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.