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Finding the Fourth Proportional to 102,499.75, 153,749.90 and 28,627.75

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Solution

The fourth proportional to 102,499.75, 153,749.90 and 28,627.75 is: 42,941.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,499.75 : 153,749.90 = 28,627.75 : x
  2. Step 2: Convert to fraction form
    102,499.75/153,749.90 = 28,627.75/x
  3. Step 3: Cross multiply
    102,499.75x = 153,749.90 × 28,627.75
  4. Step 4: Simplify right side
    102,499.75x = 4,401,513,699.73
  5. Step 5: Solve for x
    x = 4,401,513,699.73/102,499.75
  6. Step 6: Final answer
    x = 42,941.70

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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.