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Finding the Fourth Proportional to 97,874.64, 135,075.72 and 55,435.92

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Solution

The fourth proportional to 97,874.64, 135,075.72 and 55,435.92 is: 76,506.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,874.64 : 135,075.72 = 55,435.92 : x
  2. Step 2: Convert to fraction form
    97,874.64/135,075.72 = 55,435.92/x
  3. Step 3: Cross multiply
    97,874.64x = 135,075.72 × 55,435.92
  4. Step 4: Simplify right side
    97,874.64x = 7,488,046,807.86
  5. Step 5: Solve for x
    x = 7,488,046,807.86/97,874.64
  6. Step 6: Final answer
    x = 76,506.51

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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.