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Finding the Fourth Proportional to 77,965.70, 117,006.15 and 51,661.70

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Solution

The fourth proportional to 77,965.70, 117,006.15 and 51,661.70 is: 77,530.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,965.70 : 117,006.15 = 51,661.70 : x
  2. Step 2: Convert to fraction form
    77,965.70/117,006.15 = 51,661.70/x
  3. Step 3: Cross multiply
    77,965.70x = 117,006.15 × 51,661.70
  4. Step 4: Simplify right side
    77,965.70x = 6,044,736,619.46
  5. Step 5: Solve for x
    x = 6,044,736,619.46/77,965.70
  6. Step 6: Final answer
    x = 77,530.72

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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.