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Finding the Fourth Proportional to 85,653.86, 128,293.69 and 35,582.15

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Solution

The fourth proportional to 85,653.86, 128,293.69 and 35,582.15 is: 53,295.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,653.86 : 128,293.69 = 35,582.15 : x
  2. Step 2: Convert to fraction form
    85,653.86/128,293.69 = 35,582.15/x
  3. Step 3: Cross multiply
    85,653.86x = 128,293.69 × 35,582.15
  4. Step 4: Simplify right side
    85,653.86x = 4,564,965,153.95
  5. Step 5: Solve for x
    x = 4,564,965,153.95/85,653.86
  6. Step 6: Final answer
    x = 53,295.50

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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.