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Finding the Fourth Proportional to 102,245, 153,431.24 and 39,070.76

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Solution

The fourth proportional to 102,245, 153,431.24 and 39,070.76 is: 58,630.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,245 : 153,431.24 = 39,070.76 : x
  2. Step 2: Convert to fraction form
    102,245/153,431.24 = 39,070.76/x
  3. Step 3: Cross multiply
    102,245x = 153,431.24 × 39,070.76
  4. Step 4: Simplify right side
    102,245x = 5,994,675,154.54
  5. Step 5: Solve for x
    x = 5,994,675,154.54/102,245
  6. Step 6: Final answer
    x = 58,630.50

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1.5x scale

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.