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Finding the Fourth Proportional to 97,885.30, 135,049.59 and 54,858.50

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Solution

The fourth proportional to 97,885.30, 135,049.59 and 54,858.50 is: 75,686.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,885.30 : 135,049.59 = 54,858.50 : x
  2. Step 2: Convert to fraction form
    97,885.30/135,049.59 = 54,858.50/x
  3. Step 3: Cross multiply
    97,885.30x = 135,049.59 × 54,858.50
  4. Step 4: Simplify right side
    97,885.30x = 7,408,617,658.72
  5. Step 5: Solve for x
    x = 7,408,617,658.72/97,885.30
  6. Step 6: Final answer
    x = 75,686.72

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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.