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Finding the Fourth Proportional to 253,703.32, 380,577.46 and 66,714.82

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Solution

The fourth proportional to 253,703.32, 380,577.46 and 66,714.82 is: 100,078.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    253,703.32 : 380,577.46 = 66,714.82 : x
  2. Step 2: Convert to fraction form
    253,703.32/380,577.46 = 66,714.82/x
  3. Step 3: Cross multiply
    253,703.32x = 380,577.46 × 66,714.82
  4. Step 4: Simplify right side
    253,703.32x = 25,390,157,887.57
  5. Step 5: Solve for x
    x = 25,390,157,887.57/253,703.32
  6. Step 6: Final answer
    x = 100,078.14

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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.