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Finding the Fourth Proportional to 102,487.33, 153,760.74 and 42,504.81

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Solution

The fourth proportional to 102,487.33, 153,760.74 and 42,504.81 is: 63,769.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,487.33 : 153,760.74 = 42,504.81 : x
  2. Step 2: Convert to fraction form
    102,487.33/153,760.74 = 42,504.81/x
  3. Step 3: Cross multiply
    102,487.33x = 153,760.74 × 42,504.81
  4. Step 4: Simplify right side
    102,487.33x = 6,535,571,039.16
  5. Step 5: Solve for x
    x = 6,535,571,039.16/102,487.33
  6. Step 6: Final answer
    x = 63,769.55

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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.