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Finding the Fourth Proportional to 126,307.90, 189,420.84 and 42,045.44

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Solution

The fourth proportional to 126,307.90, 189,420.84 and 42,045.44 is: 63,054.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    126,307.90 : 189,420.84 = 42,045.44 : x
  2. Step 2: Convert to fraction form
    126,307.90/189,420.84 = 42,045.44/x
  3. Step 3: Cross multiply
    126,307.90x = 189,420.84 × 42,045.44
  4. Step 4: Simplify right side
    126,307.90x = 7,964,282,562.97
  5. Step 5: Solve for x
    x = 7,964,282,562.97/126,307.90
  6. Step 6: Final answer
    x = 63,054.51

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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.