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Finding the Fourth Proportional to 112,711.63, 169,004.11 and 77,212.98

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Solution

The fourth proportional to 112,711.63, 169,004.11 and 77,212.98 is: 115,776.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    112,711.63 : 169,004.11 = 77,212.98 : x
  2. Step 2: Convert to fraction form
    112,711.63/169,004.11 = 77,212.98/x
  3. Step 3: Cross multiply
    112,711.63x = 169,004.11 × 77,212.98
  4. Step 4: Simplify right side
    112,711.63x = 13,049,310,658.93
  5. Step 5: Solve for x
    x = 13,049,310,658.93/112,711.63
  6. Step 6: Final answer
    x = 115,776.08

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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.