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Finding the Fourth Proportional to 97,907.76, 135,112.32 and 57,621.24

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Solution

The fourth proportional to 97,907.76, 135,112.32 and 57,621.24 is: 79,517.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,907.76 : 135,112.32 = 57,621.24 : x
  2. Step 2: Convert to fraction form
    97,907.76/135,112.32 = 57,621.24/x
  3. Step 3: Cross multiply
    97,907.76x = 135,112.32 × 57,621.24
  4. Step 4: Simplify right side
    97,907.76x = 7,785,339,417.68
  5. Step 5: Solve for x
    x = 7,785,339,417.68/97,907.76
  6. Step 6: Final answer
    x = 79,517.08

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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.