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Finding the Fourth Proportional to 102,004.80, 153,122.40 and 78,734.40

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Solution

The fourth proportional to 102,004.80, 153,122.40 and 78,734.40 is: 118,190.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,004.80 : 153,122.40 = 78,734.40 : x
  2. Step 2: Convert to fraction form
    102,004.80/153,122.40 = 78,734.40/x
  3. Step 3: Cross multiply
    102,004.80x = 153,122.40 × 78,734.40
  4. Step 4: Simplify right side
    102,004.80x = 12,056,000,290.56
  5. Step 5: Solve for x
    x = 12,056,000,290.56/102,004.80
  6. Step 6: Final answer
    x = 118,190.52

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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.