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Finding the Fourth Proportional to 85,216.42, 127,779.85 and 37,810.98

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Solution

The fourth proportional to 85,216.42, 127,779.85 and 37,810.98 is: 56,696.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,216.42 : 127,779.85 = 37,810.98 : x
  2. Step 2: Convert to fraction form
    85,216.42/127,779.85 = 37,810.98/x
  3. Step 3: Cross multiply
    85,216.42x = 127,779.85 × 37,810.98
  4. Step 4: Simplify right side
    85,216.42x = 4,831,481,352.75
  5. Step 5: Solve for x
    x = 4,831,481,352.75/85,216.42
  6. Step 6: Final answer
    x = 56,696.60

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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.