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Finding the Fourth Proportional to 178,355.80, 267,460.74 and 77,159.56

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Solution

The fourth proportional to 178,355.80, 267,460.74 and 77,159.56 is: 115,707.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    178,355.80 : 267,460.74 = 77,159.56 : x
  2. Step 2: Convert to fraction form
    178,355.80/267,460.74 = 77,159.56/x
  3. Step 3: Cross multiply
    178,355.80x = 267,460.74 × 77,159.56
  4. Step 4: Simplify right side
    178,355.80x = 20,637,153,015.67
  5. Step 5: Solve for x
    x = 20,637,153,015.67/178,355.80
  6. Step 6: Final answer
    x = 115,707.78

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1.5x scale

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.