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Finding the Fourth Proportional to 57,135.95, 78,810.86 and 35,878.31

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Solution

The fourth proportional to 57,135.95, 78,810.86 and 35,878.31 is: 49,488.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,135.95 : 78,810.86 = 35,878.31 : x
  2. Step 2: Convert to fraction form
    57,135.95/78,810.86 = 35,878.31/x
  3. Step 3: Cross multiply
    57,135.95x = 78,810.86 × 35,878.31
  4. Step 4: Simplify right side
    57,135.95x = 2,827,600,466.45
  5. Step 5: Solve for x
    x = 2,827,600,466.45/57,135.95
  6. Step 6: Final answer
    x = 49,488.99

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.