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Finding the Fourth Proportional to 85,702.85, 128,602.88 and 46,259.09

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Solution

The fourth proportional to 85,702.85, 128,602.88 and 46,259.09 is: 69,414.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,702.85 : 128,602.88 = 46,259.09 : x
  2. Step 2: Convert to fraction form
    85,702.85/128,602.88 = 46,259.09/x
  3. Step 3: Cross multiply
    85,702.85x = 128,602.88 × 46,259.09
  4. Step 4: Simplify right side
    85,702.85x = 5,949,051,325.87
  5. Step 5: Solve for x
    x = 5,949,051,325.87/85,702.85
  6. Step 6: Final answer
    x = 69,414.86

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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.