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Finding the Fourth Proportional to 90,834, 136,285.68 and 35,434.32

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Solution

The fourth proportional to 90,834, 136,285.68 and 35,434.32 is: 53,165.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    90,834 : 136,285.68 = 35,434.32 : x
  2. Step 2: Convert to fraction form
    90,834/136,285.68 = 35,434.32/x
  3. Step 3: Cross multiply
    90,834x = 136,285.68 × 35,434.32
  4. Step 4: Simplify right side
    90,834x = 4,829,190,396.54
  5. Step 5: Solve for x
    x = 4,829,190,396.54/90,834
  6. Step 6: Final answer
    x = 53,165.01

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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.