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Finding the Fourth Proportional to 123,835.36, 170,936.40 and 73,534

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Solution

The fourth proportional to 123,835.36, 170,936.40 and 73,534 is: 101,502.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    123,835.36 : 170,936.40 = 73,534 : x
  2. Step 2: Convert to fraction form
    123,835.36/170,936.40 = 73,534/x
  3. Step 3: Cross multiply
    123,835.36x = 170,936.40 × 73,534
  4. Step 4: Simplify right side
    123,835.36x = 12,569,637,237.60
  5. Step 5: Solve for x
    x = 12,569,637,237.60/123,835.36
  6. Step 6: Final answer
    x = 101,502.81

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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.