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Finding the Fourth Proportional to 85,314.54, 127,971.81 and 43,735.02

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Solution

The fourth proportional to 85,314.54, 127,971.81 and 43,735.02 is: 65,602.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,314.54 : 127,971.81 = 43,735.02 : x
  2. Step 2: Convert to fraction form
    85,314.54/127,971.81 = 43,735.02/x
  3. Step 3: Cross multiply
    85,314.54x = 127,971.81 × 43,735.02
  4. Step 4: Simplify right side
    85,314.54x = 5,596,849,669.79
  5. Step 5: Solve for x
    x = 5,596,849,669.79/85,314.54
  6. Step 6: Final answer
    x = 65,602.53

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.