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Finding the Fourth Proportional to 68,782.42, 94,965.96 and 42,980.32

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Solution

The fourth proportional to 68,782.42, 94,965.96 and 42,980.32 is: 59,341.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,782.42 : 94,965.96 = 42,980.32 : x
  2. Step 2: Convert to fraction form
    68,782.42/94,965.96 = 42,980.32/x
  3. Step 3: Cross multiply
    68,782.42x = 94,965.96 × 42,980.32
  4. Step 4: Simplify right side
    68,782.42x = 4,081,667,349.91
  5. Step 5: Solve for x
    x = 4,081,667,349.91/68,782.42
  6. Step 6: Final answer
    x = 59,341.72

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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.