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Finding the Fourth Proportional to 99,774.84, 137,692.14 and 54,455.72

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Solution

The fourth proportional to 99,774.84, 137,692.14 and 54,455.72 is: 75,150.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,774.84 : 137,692.14 = 54,455.72 : x
  2. Step 2: Convert to fraction form
    99,774.84/137,692.14 = 54,455.72/x
  3. Step 3: Cross multiply
    99,774.84x = 137,692.14 × 54,455.72
  4. Step 4: Simplify right side
    99,774.84x = 7,498,124,622.04
  5. Step 5: Solve for x
    x = 7,498,124,622.04/99,774.84
  6. Step 6: Final answer
    x = 75,150.45

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1.5x scale

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.