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Finding the Fourth Proportional to 102,415.88, 153,644.58 and 43,251.32

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Solution

The fourth proportional to 102,415.88, 153,644.58 and 43,251.32 is: 64,885.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,415.88 : 153,644.58 = 43,251.32 : x
  2. Step 2: Convert to fraction form
    102,415.88/153,644.58 = 43,251.32/x
  3. Step 3: Cross multiply
    102,415.88x = 153,644.58 × 43,251.32
  4. Step 4: Simplify right side
    102,415.88x = 6,645,330,895.85
  5. Step 5: Solve for x
    x = 6,645,330,895.85/102,415.88
  6. Step 6: Final answer
    x = 64,885.75

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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.