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Finding the Fourth Proportional to 171,657.10, 257,485.65 and 78,345.10

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Solution

The fourth proportional to 171,657.10, 257,485.65 and 78,345.10 is: 117,517.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    171,657.10 : 257,485.65 = 78,345.10 : x
  2. Step 2: Convert to fraction form
    171,657.10/257,485.65 = 78,345.10/x
  3. Step 3: Cross multiply
    171,657.10x = 257,485.65 × 78,345.10
  4. Step 4: Simplify right side
    171,657.10x = 20,172,738,997.82
  5. Step 5: Solve for x
    x = 20,172,738,997.82/171,657.10
  6. Step 6: Final answer
    x = 117,517.65

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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.