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Finding the Fourth Proportional to 103,377.50, 142,715.13 and 69,563.78

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Solution

The fourth proportional to 103,377.50, 142,715.13 and 69,563.78 is: 96,034.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,377.50 : 142,715.13 = 69,563.78 : x
  2. Step 2: Convert to fraction form
    103,377.50/142,715.13 = 69,563.78/x
  3. Step 3: Cross multiply
    103,377.50x = 142,715.13 × 69,563.78
  4. Step 4: Simplify right side
    103,377.50x = 9,927,803,858.03
  5. Step 5: Solve for x
    x = 9,927,803,858.03/103,377.50
  6. Step 6: Final answer
    x = 96,034.48

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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.