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Finding the Fourth Proportional to 78,833.60, 118,250.40 and 49,284.80

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Solution

The fourth proportional to 78,833.60, 118,250.40 and 49,284.80 is: 73,927.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,833.60 : 118,250.40 = 49,284.80 : x
  2. Step 2: Convert to fraction form
    78,833.60/118,250.40 = 49,284.80/x
  3. Step 3: Cross multiply
    78,833.60x = 118,250.40 × 49,284.80
  4. Step 4: Simplify right side
    78,833.60x = 5,827,947,313.92
  5. Step 5: Solve for x
    x = 5,827,947,313.92/78,833.60
  6. Step 6: Final answer
    x = 73,927.20

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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.