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Finding the Fourth Proportional to 178,265.36, 267,398.50 and 45,145.64

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Solution

The fourth proportional to 178,265.36, 267,398.50 and 45,145.64 is: 67,718.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    178,265.36 : 267,398.50 = 45,145.64 : x
  2. Step 2: Convert to fraction form
    178,265.36/267,398.50 = 45,145.64/x
  3. Step 3: Cross multiply
    178,265.36x = 267,398.50 × 45,145.64
  4. Step 4: Simplify right side
    178,265.36x = 12,071,875,080.55
  5. Step 5: Solve for x
    x = 12,071,875,080.55/178,265.36
  6. Step 6: Final answer
    x = 67,718.57

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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.