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Finding the Fourth Proportional to 103,420.65, 142,722.43 and 57,484.60

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Solution

The fourth proportional to 103,420.65, 142,722.43 and 57,484.60 is: 79,329.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,420.65 : 142,722.43 = 57,484.60 : x
  2. Step 2: Convert to fraction form
    103,420.65/142,722.43 = 57,484.60/x
  3. Step 3: Cross multiply
    103,420.65x = 142,722.43 × 57,484.60
  4. Step 4: Simplify right side
    103,420.65x = 8,204,341,299.06
  5. Step 5: Solve for x
    x = 8,204,341,299.06/103,420.65
  6. Step 6: Final answer
    x = 79,329.81

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.