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Finding the Fourth Proportional to 251,405.42, 377,107.15 and 101,643.91

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Solution

The fourth proportional to 251,405.42, 377,107.15 and 101,643.91 is: 152,465.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    251,405.42 : 377,107.15 = 101,643.91 : x
  2. Step 2: Convert to fraction form
    251,405.42/377,107.15 = 101,643.91/x
  3. Step 3: Cross multiply
    251,405.42x = 377,107.15 × 101,643.91
  4. Step 4: Simplify right side
    251,405.42x = 38,330,644,960.85
  5. Step 5: Solve for x
    x = 38,330,644,960.85/251,405.42
  6. Step 6: Final answer
    x = 152,465.47

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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.