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Finding the Fourth Proportional to 178,774.86, 268,075.62 and 103,916.56

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Solution

The fourth proportional to 178,774.86, 268,075.62 and 103,916.56 is: 155,824.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    178,774.86 : 268,075.62 = 103,916.56 : x
  2. Step 2: Convert to fraction form
    178,774.86/268,075.62 = 103,916.56/x
  3. Step 3: Cross multiply
    178,774.86x = 268,075.62 × 103,916.56
  4. Step 4: Simplify right side
    178,774.86x = 27,857,496,250.27
  5. Step 5: Solve for x
    x = 27,857,496,250.27/178,774.86
  6. Step 6: Final answer
    x = 155,824.46

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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.