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Finding the Fourth Proportional to 75,560.16, 113,790.10 and 65,817.12

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Solution

The fourth proportional to 75,560.16, 113,790.10 and 65,817.12 is: 99,117.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,560.16 : 113,790.10 = 65,817.12 : x
  2. Step 2: Convert to fraction form
    75,560.16/113,790.10 = 65,817.12/x
  3. Step 3: Cross multiply
    75,560.16x = 113,790.10 × 65,817.12
  4. Step 4: Simplify right side
    75,560.16x = 7,489,336,666.51
  5. Step 5: Solve for x
    x = 7,489,336,666.51/75,560.16
  6. Step 6: Final answer
    x = 99,117.53

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.