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Finding the Fourth Proportional to 131,371, 181,292.70 and 71,755

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Solution

The fourth proportional to 131,371, 181,292.70 and 71,755 is: 99,022.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    131,371 : 181,292.70 = 71,755 : x
  2. Step 2: Convert to fraction form
    131,371/181,292.70 = 71,755/x
  3. Step 3: Cross multiply
    131,371x = 181,292.70 × 71,755
  4. Step 4: Simplify right side
    131,371x = 13,008,657,688.50
  5. Step 5: Solve for x
    x = 13,008,657,688.50/131,371
  6. Step 6: Final answer
    x = 99,022.29

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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.