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Finding the Fourth Proportional to 254,866, 351,715.50 and 141,688.75

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Solution

The fourth proportional to 254,866, 351,715.50 and 141,688.75 is: 195,530.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    254,866 : 351,715.50 = 141,688.75 : x
  2. Step 2: Convert to fraction form
    254,866/351,715.50 = 141,688.75/x
  3. Step 3: Cross multiply
    254,866x = 351,715.50 × 141,688.75
  4. Step 4: Simplify right side
    254,866x = 49,834,129,550.63
  5. Step 5: Solve for x
    x = 49,834,129,550.63/254,866
  6. Step 6: Final answer
    x = 195,530.71

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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.