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Finding the Fourth Proportional to 85,354.16, 128,058.64 and 35,458.16

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Solution

The fourth proportional to 85,354.16, 128,058.64 and 35,458.16 is: 53,198.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,354.16 : 128,058.64 = 35,458.16 : x
  2. Step 2: Convert to fraction form
    85,354.16/128,058.64 = 35,458.16/x
  3. Step 3: Cross multiply
    85,354.16x = 128,058.64 × 35,458.16
  4. Step 4: Simplify right side
    85,354.16x = 4,540,723,746.50
  5. Step 5: Solve for x
    x = 4,540,723,746.50/85,354.16
  6. Step 6: Final answer
    x = 53,198.62

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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.