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Finding the Fourth Proportional to 131,695, 181,681.19 and 77,219.36

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Solution

The fourth proportional to 131,695, 181,681.19 and 77,219.36 is: 106,528.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    131,695 : 181,681.19 = 77,219.36 : x
  2. Step 2: Convert to fraction form
    131,695/181,681.19 = 77,219.36/x
  3. Step 3: Cross multiply
    131,695x = 181,681.19 × 77,219.36
  4. Step 4: Simplify right side
    131,695x = 14,029,305,283.94
  5. Step 5: Solve for x
    x = 14,029,305,283.94/131,695
  6. Step 6: Final answer
    x = 106,528.76

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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.