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Finding the Fourth Proportional to 131,188.95, 181,035.54 and 77,491.22

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Solution

The fourth proportional to 131,188.95, 181,035.54 and 77,491.22 is: 106,934.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    131,188.95 : 181,035.54 = 77,491.22 : x
  2. Step 2: Convert to fraction form
    131,188.95/181,035.54 = 77,491.22/x
  3. Step 3: Cross multiply
    131,188.95x = 181,035.54 × 77,491.22
  4. Step 4: Simplify right side
    131,188.95x = 14,028,663,952.78
  5. Step 5: Solve for x
    x = 14,028,663,952.78/131,188.95
  6. Step 6: Final answer
    x = 106,934.80

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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.