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Finding the Fourth Proportional to 56,703.78, 78,218.63 and 35,446.14

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Solution

The fourth proportional to 56,703.78, 78,218.63 and 35,446.14 is: 48,895.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,703.78 : 78,218.63 = 35,446.14 : x
  2. Step 2: Convert to fraction form
    56,703.78/78,218.63 = 35,446.14/x
  3. Step 3: Cross multiply
    56,703.78x = 78,218.63 × 35,446.14
  4. Step 4: Simplify right side
    56,703.78x = 2,772,548,527.90
  5. Step 5: Solve for x
    x = 2,772,548,527.90/56,703.78
  6. Step 6: Final answer
    x = 48,895.30

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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.