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Finding the Fourth Proportional to 254,989.68, 351,898.20 and 141,810

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Solution

The fourth proportional to 254,989.68, 351,898.20 and 141,810 is: 195,704.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    254,989.68 : 351,898.20 = 141,810 : x
  2. Step 2: Convert to fraction form
    254,989.68/351,898.20 = 141,810/x
  3. Step 3: Cross multiply
    254,989.68x = 351,898.20 × 141,810
  4. Step 4: Simplify right side
    254,989.68x = 49,902,683,742
  5. Step 5: Solve for x
    x = 49,902,683,742/254,989.68
  6. Step 6: Final answer
    x = 195,704.72

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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.