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Finding the Fourth Proportional to 78,285.66, 107,369.96 and 75,070.74

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Solution

The fourth proportional to 78,285.66, 107,369.96 and 75,070.74 is: 102,960.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,285.66 : 107,369.96 = 75,070.74 : x
  2. Step 2: Convert to fraction form
    78,285.66/107,369.96 = 75,070.74/x
  3. Step 3: Cross multiply
    78,285.66x = 107,369.96 × 75,070.74
  4. Step 4: Simplify right side
    78,285.66x = 8,060,341,975.62
  5. Step 5: Solve for x
    x = 8,060,341,975.62/78,285.66
  6. Step 6: Final answer
    x = 102,960.64

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.