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Finding the Fourth Proportional to 88,713.16, 122,216.20 and 61,807

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Solution

The fourth proportional to 88,713.16, 122,216.20 and 61,807 is: 85,148.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    88,713.16 : 122,216.20 = 61,807 : x
  2. Step 2: Convert to fraction form
    88,713.16/122,216.20 = 61,807/x
  3. Step 3: Cross multiply
    88,713.16x = 122,216.20 × 61,807
  4. Step 4: Simplify right side
    88,713.16x = 7,553,816,673.40
  5. Step 5: Solve for x
    x = 7,553,816,673.40/88,713.16
  6. Step 6: Final answer
    x = 85,148.77

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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.