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Finding the Fourth Proportional to 178,858.83, 268,088.42 and 77,539.92

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Solution

The fourth proportional to 178,858.83, 268,088.42 and 77,539.92 is: 116,223.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    178,858.83 : 268,088.42 = 77,539.92 : x
  2. Step 2: Convert to fraction form
    178,858.83/268,088.42 = 77,539.92/x
  3. Step 3: Cross multiply
    178,858.83x = 268,088.42 × 77,539.92
  4. Step 4: Simplify right side
    178,858.83x = 20,787,554,252.03
  5. Step 5: Solve for x
    x = 20,787,554,252.03/178,858.83
  6. Step 6: Final answer
    x = 116,223.25

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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.