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Finding the Fourth Proportional to 109,714.64, 151,405.08 and 61,967.84

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Solution

The fourth proportional to 109,714.64, 151,405.08 and 61,967.84 is: 85,514.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,714.64 : 151,405.08 = 61,967.84 : x
  2. Step 2: Convert to fraction form
    109,714.64/151,405.08 = 61,967.84/x
  3. Step 3: Cross multiply
    109,714.64x = 151,405.08 × 61,967.84
  4. Step 4: Simplify right side
    109,714.64x = 9,382,245,772.63
  5. Step 5: Solve for x
    x = 9,382,245,772.63/109,714.64
  6. Step 6: Final answer
    x = 85,514.98

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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.