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Finding the Fourth Proportional to 78,829.80, 118,317.60 and 39,415.20

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Solution

The fourth proportional to 78,829.80, 118,317.60 and 39,415.20 is: 59,159.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,829.80 : 118,317.60 = 39,415.20 : x
  2. Step 2: Convert to fraction form
    78,829.80/118,317.60 = 39,415.20/x
  3. Step 3: Cross multiply
    78,829.80x = 118,317.60 × 39,415.20
  4. Step 4: Simplify right side
    78,829.80x = 4,663,511,867.52
  5. Step 5: Solve for x
    x = 4,663,511,867.52/78,829.80
  6. Step 6: Final answer
    x = 59,159.25

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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.