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Finding the Fourth Proportional to 171,813.08, 257,756.63 and 51,859.98

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Solution

The fourth proportional to 171,813.08, 257,756.63 and 51,859.98 is: 77,801.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    171,813.08 : 257,756.63 = 51,859.98 : x
  2. Step 2: Convert to fraction form
    171,813.08/257,756.63 = 51,859.98/x
  3. Step 3: Cross multiply
    171,813.08x = 257,756.63 × 51,859.98
  4. Step 4: Simplify right side
    171,813.08x = 13,367,253,417.37
  5. Step 5: Solve for x
    x = 13,367,253,417.37/171,813.08
  6. Step 6: Final answer
    x = 77,801.14

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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.