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Finding the Fourth Proportional to 97,139.48, 145,729.92 and 55,039.74

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Solution

The fourth proportional to 97,139.48, 145,729.92 and 55,039.74 is: 82,571.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,139.48 : 145,729.92 = 55,039.74 : x
  2. Step 2: Convert to fraction form
    97,139.48/145,729.92 = 55,039.74/x
  3. Step 3: Cross multiply
    97,139.48x = 145,729.92 × 55,039.74
  4. Step 4: Simplify right side
    97,139.48x = 8,020,936,907.02
  5. Step 5: Solve for x
    x = 8,020,936,907.02/97,139.48
  6. Step 6: Final answer
    x = 82,571.34

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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.