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Finding the Fourth Proportional to 119,145.72, 178,710.06 and 69,194.64

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Solution

The fourth proportional to 119,145.72, 178,710.06 and 69,194.64 is: 103,787.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,145.72 : 178,710.06 = 69,194.64 : x
  2. Step 2: Convert to fraction form
    119,145.72/178,710.06 = 69,194.64/x
  3. Step 3: Cross multiply
    119,145.72x = 178,710.06 × 69,194.64
  4. Step 4: Simplify right side
    119,145.72x = 12,365,778,266.08
  5. Step 5: Solve for x
    x = 12,365,778,266.08/119,145.72
  6. Step 6: Final answer
    x = 103,787.01

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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.