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Finding the Fourth Proportional to 131,807.67, 181,897.70 and 75,224.31

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Solution

The fourth proportional to 131,807.67, 181,897.70 and 75,224.31 is: 103,811.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    131,807.67 : 181,897.70 = 75,224.31 : x
  2. Step 2: Convert to fraction form
    131,807.67/181,897.70 = 75,224.31/x
  3. Step 3: Cross multiply
    131,807.67x = 181,897.70 × 75,224.31
  4. Step 4: Simplify right side
    131,807.67x = 13,683,128,596.97
  5. Step 5: Solve for x
    x = 13,683,128,596.97/131,807.67
  6. Step 6: Final answer
    x = 103,811.32

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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.