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Finding the Fourth Proportional to 101,878.60, 152,516.58 and 75,699.40

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Solution

The fourth proportional to 101,878.60, 152,516.58 and 75,699.40 is: 113,325.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,878.60 : 152,516.58 = 75,699.40 : x
  2. Step 2: Convert to fraction form
    101,878.60/152,516.58 = 75,699.40/x
  3. Step 3: Cross multiply
    101,878.60x = 152,516.58 × 75,699.40
  4. Step 4: Simplify right side
    101,878.60x = 11,545,413,596.05
  5. Step 5: Solve for x
    x = 11,545,413,596.05/101,878.60
  6. Step 6: Final answer
    x = 113,325.21

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.