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Finding the Fourth Proportional to 78,830.96, 118,176.11 and 28,899.40

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Solution

The fourth proportional to 78,830.96, 118,176.11 and 28,899.40 is: 43,323.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,830.96 : 118,176.11 = 28,899.40 : x
  2. Step 2: Convert to fraction form
    78,830.96/118,176.11 = 28,899.40/x
  3. Step 3: Cross multiply
    78,830.96x = 118,176.11 × 28,899.40
  4. Step 4: Simplify right side
    78,830.96x = 3,415,218,227.35
  5. Step 5: Solve for x
    x = 3,415,218,227.35/78,830.96
  6. Step 6: Final answer
    x = 43,323.31

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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.