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Finding the Fourth Proportional to 76,157.69, 105,094.76 and 42,163.50

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Solution

The fourth proportional to 76,157.69, 105,094.76 and 42,163.50 is: 58,184.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,157.69 : 105,094.76 = 42,163.50 : x
  2. Step 2: Convert to fraction form
    76,157.69/105,094.76 = 42,163.50/x
  3. Step 3: Cross multiply
    76,157.69x = 105,094.76 × 42,163.50
  4. Step 4: Simplify right side
    76,157.69x = 4,431,162,702.44
  5. Step 5: Solve for x
    x = 4,431,162,702.44/76,157.69
  6. Step 6: Final answer
    x = 58,184.05

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.