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Finding the Fourth Proportional to 114,781.71, 172,172.34 and 30,541.87

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Solution

The fourth proportional to 114,781.71, 172,172.34 and 30,541.87 is: 45,812.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,781.71 : 172,172.34 = 30,541.87 : x
  2. Step 2: Convert to fraction form
    114,781.71/172,172.34 = 30,541.87/x
  3. Step 3: Cross multiply
    114,781.71x = 172,172.34 × 30,541.87
  4. Step 4: Simplify right side
    114,781.71x = 5,258,465,225.88
  5. Step 5: Solve for x
    x = 5,258,465,225.88/114,781.71
  6. Step 6: Final answer
    x = 45,812.75

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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.