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Finding the Fourth Proportional to 97,421.70, 134,455.50 and 57,148.50

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Solution

The fourth proportional to 97,421.70, 134,455.50 and 57,148.50 is: 78,872.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,421.70 : 134,455.50 = 57,148.50 : x
  2. Step 2: Convert to fraction form
    97,421.70/134,455.50 = 57,148.50/x
  3. Step 3: Cross multiply
    97,421.70x = 134,455.50 × 57,148.50
  4. Step 4: Simplify right side
    97,421.70x = 7,683,930,141.75
  5. Step 5: Solve for x
    x = 7,683,930,141.75/97,421.70
  6. Step 6: Final answer
    x = 78,872.88

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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.