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Finding the Fourth Proportional to 104,089.64, 143,643.78 and 56,342.84

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Solution

The fourth proportional to 104,089.64, 143,643.78 and 56,342.84 is: 77,753.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    104,089.64 : 143,643.78 = 56,342.84 : x
  2. Step 2: Convert to fraction form
    104,089.64/143,643.78 = 56,342.84/x
  3. Step 3: Cross multiply
    104,089.64x = 143,643.78 × 56,342.84
  4. Step 4: Simplify right side
    104,089.64x = 8,093,298,513.54
  5. Step 5: Solve for x
    x = 8,093,298,513.54/104,089.64
  6. Step 6: Final answer
    x = 77,753.16

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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.