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Finding the Fourth Proportional to 310,749.26, 466,133.94 and 86,111.90

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Solution

The fourth proportional to 310,749.26, 466,133.94 and 86,111.90 is: 129,170.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    310,749.26 : 466,133.94 = 86,111.90 : x
  2. Step 2: Convert to fraction form
    310,749.26/466,133.94 = 86,111.90/x
  3. Step 3: Cross multiply
    310,749.26x = 466,133.94 × 86,111.90
  4. Step 4: Simplify right side
    310,749.26x = 40,139,679,227.89
  5. Step 5: Solve for x
    x = 40,139,679,227.89/310,749.26
  6. Step 6: Final answer
    x = 129,170.63

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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.