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Finding the Fourth Proportional to 228,097.60, 342,146.40 and 103,438.60

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Solution

The fourth proportional to 228,097.60, 342,146.40 and 103,438.60 is: 155,157.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    228,097.60 : 342,146.40 = 103,438.60 : x
  2. Step 2: Convert to fraction form
    228,097.60/342,146.40 = 103,438.60/x
  3. Step 3: Cross multiply
    228,097.60x = 342,146.40 × 103,438.60
  4. Step 4: Simplify right side
    228,097.60x = 35,391,144,611.04
  5. Step 5: Solve for x
    x = 35,391,144,611.04/228,097.60
  6. Step 6: Final answer
    x = 155,157.90

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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.