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Finding the Fourth Proportional to 103,431.70, 155,293.35 and 64,065.70

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Solution

The fourth proportional to 103,431.70, 155,293.35 and 64,065.70 is: 96,188.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,431.70 : 155,293.35 = 64,065.70 : x
  2. Step 2: Convert to fraction form
    103,431.70/155,293.35 = 64,065.70/x
  3. Step 3: Cross multiply
    103,431.70x = 155,293.35 × 64,065.70
  4. Step 4: Simplify right side
    103,431.70x = 9,948,977,173.10
  5. Step 5: Solve for x
    x = 9,948,977,173.10/103,431.70
  6. Step 6: Final answer
    x = 96,188.86

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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.