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Finding the Fourth Proportional to 126,187.61, 189,307.53 and 51,307.76

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Solution

The fourth proportional to 126,187.61, 189,307.53 and 51,307.76 is: 76,972.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    126,187.61 : 189,307.53 = 51,307.76 : x
  2. Step 2: Convert to fraction form
    126,187.61/189,307.53 = 51,307.76/x
  3. Step 3: Cross multiply
    126,187.61x = 189,307.53 × 51,307.76
  4. Step 4: Simplify right side
    126,187.61x = 9,712,945,788.70
  5. Step 5: Solve for x
    x = 9,712,945,788.70/126,187.61
  6. Step 6: Final answer
    x = 76,972.27

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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.