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Finding the Fourth Proportional to 154,064, 231,109.14 and 43,256

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Solution

The fourth proportional to 154,064, 231,109.14 and 43,256 is: 64,887.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    154,064 : 231,109.14 = 43,256 : x
  2. Step 2: Convert to fraction form
    154,064/231,109.14 = 43,256/x
  3. Step 3: Cross multiply
    154,064x = 231,109.14 × 43,256
  4. Step 4: Simplify right side
    154,064x = 9,996,856,959.84
  5. Step 5: Solve for x
    x = 9,996,856,959.84/154,064
  6. Step 6: Final answer
    x = 64,887.69

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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.