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Finding the Fourth Proportional to 78,765.08, 108,706.92 and 46,934.60

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Solution

The fourth proportional to 78,765.08, 108,706.92 and 46,934.60 is: 64,776.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,765.08 : 108,706.92 = 46,934.60 : x
  2. Step 2: Convert to fraction form
    78,765.08/108,706.92 = 46,934.60/x
  3. Step 3: Cross multiply
    78,765.08x = 108,706.92 × 46,934.60
  4. Step 4: Simplify right side
    78,765.08x = 5,102,115,807.43
  5. Step 5: Solve for x
    x = 5,102,115,807.43/78,765.08
  6. Step 6: Final answer
    x = 64,776.37

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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.