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Finding the Fourth Proportional to 109,690.52, 164,535.80 and 39,569.81

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Solution

The fourth proportional to 109,690.52, 164,535.80 and 39,569.81 is: 59,354.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,690.52 : 164,535.80 = 39,569.81 : x
  2. Step 2: Convert to fraction form
    109,690.52/164,535.80 = 39,569.81/x
  3. Step 3: Cross multiply
    109,690.52x = 164,535.80 × 39,569.81
  4. Step 4: Simplify right side
    109,690.52x = 6,510,649,323.67
  5. Step 5: Solve for x
    x = 6,510,649,323.67/109,690.52
  6. Step 6: Final answer
    x = 59,354.72

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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.