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Finding the Fourth Proportional to 105,311.68, 157,968.24 and 42,137.12

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Solution

The fourth proportional to 105,311.68, 157,968.24 and 42,137.12 is: 63,205.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,311.68 : 157,968.24 = 42,137.12 : x
  2. Step 2: Convert to fraction form
    105,311.68/157,968.24 = 42,137.12/x
  3. Step 3: Cross multiply
    105,311.68x = 157,968.24 × 42,137.12
  4. Step 4: Simplify right side
    105,311.68x = 6,656,326,685.07
  5. Step 5: Solve for x
    x = 6,656,326,685.07/105,311.68
  6. Step 6: Final answer
    x = 63,205.97

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1.5x scale

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.