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Finding the Fourth Proportional to 225,666.50, 311,419.77 and 125,070.98

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Solution

The fourth proportional to 225,666.50, 311,419.77 and 125,070.98 is: 172,597.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    225,666.50 : 311,419.77 = 125,070.98 : x
  2. Step 2: Convert to fraction form
    225,666.50/311,419.77 = 125,070.98/x
  3. Step 3: Cross multiply
    225,666.50x = 311,419.77 × 125,070.98
  4. Step 4: Simplify right side
    225,666.50x = 38,949,575,825.27
  5. Step 5: Solve for x
    x = 38,949,575,825.27/225,666.50
  6. Step 6: Final answer
    x = 172,597.95

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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.