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Finding the Fourth Proportional to 65,107.80, 97,661.70 and 57,890.70

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Solution

The fourth proportional to 65,107.80, 97,661.70 and 57,890.70 is: 86,836.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,107.80 : 97,661.70 = 57,890.70 : x
  2. Step 2: Convert to fraction form
    65,107.80/97,661.70 = 57,890.70/x
  3. Step 3: Cross multiply
    65,107.80x = 97,661.70 × 57,890.70
  4. Step 4: Simplify right side
    65,107.80x = 5,653,704,176.19
  5. Step 5: Solve for x
    x = 5,653,704,176.19/65,107.80
  6. Step 6: Final answer
    x = 86,836.05

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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.