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Finding the Fourth Proportional to 103,698.65, 155,548.47 and 36,230.40

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Solution

The fourth proportional to 103,698.65, 155,548.47 and 36,230.40 is: 54,345.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,698.65 : 155,548.47 = 36,230.40 : x
  2. Step 2: Convert to fraction form
    103,698.65/155,548.47 = 36,230.40/x
  3. Step 3: Cross multiply
    103,698.65x = 155,548.47 × 36,230.40
  4. Step 4: Simplify right side
    103,698.65x = 5,635,583,219.56
  5. Step 5: Solve for x
    x = 5,635,583,219.56/103,698.65
  6. Step 6: Final answer
    x = 54,345.77

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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.