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Finding the Fourth Proportional to 78,012.81, 117,024.08 and 31,259.61

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Solution

The fourth proportional to 78,012.81, 117,024.08 and 31,259.61 is: 46,891.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,012.81 : 117,024.08 = 31,259.61 : x
  2. Step 2: Convert to fraction form
    78,012.81/117,024.08 = 31,259.61/x
  3. Step 3: Cross multiply
    78,012.81x = 117,024.08 × 31,259.61
  4. Step 4: Simplify right side
    78,012.81x = 3,658,126,945.11
  5. Step 5: Solve for x
    x = 3,658,126,945.11/78,012.81
  6. Step 6: Final answer
    x = 46,891.36

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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.