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Finding the Fourth Proportional to 86,978.49, 119,130.95 and 81,871.84

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Solution

The fourth proportional to 86,978.49, 119,130.95 and 81,871.84 is: 112,136.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,978.49 : 119,130.95 = 81,871.84 : x
  2. Step 2: Convert to fraction form
    86,978.49/119,130.95 = 81,871.84/x
  3. Step 3: Cross multiply
    86,978.49x = 119,130.95 × 81,871.84
  4. Step 4: Simplify right side
    86,978.49x = 9,753,470,077.45
  5. Step 5: Solve for x
    x = 9,753,470,077.45/86,978.49
  6. Step 6: Final answer
    x = 112,136.58

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.