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Finding the Fourth Proportional to 78,740.40, 108,661.92 and 46,909.80

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Solution

The fourth proportional to 78,740.40, 108,661.92 and 46,909.80 is: 64,735.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,740.40 : 108,661.92 = 46,909.80 : x
  2. Step 2: Convert to fraction form
    78,740.40/108,661.92 = 46,909.80/x
  3. Step 3: Cross multiply
    78,740.40x = 108,661.92 × 46,909.80
  4. Step 4: Simplify right side
    78,740.40x = 5,097,308,934.82
  5. Step 5: Solve for x
    x = 5,097,308,934.82/78,740.40
  6. Step 6: Final answer
    x = 64,735.62

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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.