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Finding the Fourth Proportional to 85,406.94, 128,070.45 and 49,878.59

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Solution

The fourth proportional to 85,406.94, 128,070.45 and 49,878.59 is: 74,794.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,406.94 : 128,070.45 = 49,878.59 : x
  2. Step 2: Convert to fraction form
    85,406.94/128,070.45 = 49,878.59/x
  3. Step 3: Cross multiply
    85,406.94x = 128,070.45 × 49,878.59
  4. Step 4: Simplify right side
    85,406.94x = 6,387,972,826.31
  5. Step 5: Solve for x
    x = 6,387,972,826.31/85,406.94
  6. Step 6: Final answer
    x = 74,794.54

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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.