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Finding the Fourth Proportional to 178,822, 246,765.54 and 107,188.12

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Solution

The fourth proportional to 178,822, 246,765.54 and 107,188.12 is: 147,914.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    178,822 : 246,765.54 = 107,188.12 : x
  2. Step 2: Convert to fraction form
    178,822/246,765.54 = 107,188.12/x
  3. Step 3: Cross multiply
    178,822x = 246,765.54 × 107,188.12
  4. Step 4: Simplify right side
    178,822x = 26,450,334,313.38
  5. Step 5: Solve for x
    x = 26,450,334,313.38/178,822
  6. Step 6: Final answer
    x = 147,914.32

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1.5x scale

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.