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Finding the Fourth Proportional to 145,832.96, 218,577.49 and 65,777.21

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Solution

The fourth proportional to 145,832.96, 218,577.49 and 65,777.21 is: 98,588.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,832.96 : 218,577.49 = 65,777.21 : x
  2. Step 2: Convert to fraction form
    145,832.96/218,577.49 = 65,777.21/x
  3. Step 3: Cross multiply
    145,832.96x = 218,577.49 × 65,777.21
  4. Step 4: Simplify right side
    145,832.96x = 14,377,418,252.84
  5. Step 5: Solve for x
    x = 14,377,418,252.84/145,832.96
  6. Step 6: Final answer
    x = 98,588.27

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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.