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Finding the Fourth Proportional to 57,155.94, 85,702.59 and 17,702.10

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Solution

The fourth proportional to 57,155.94, 85,702.59 and 17,702.10 is: 26,543.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,155.94 : 85,702.59 = 17,702.10 : x
  2. Step 2: Convert to fraction form
    57,155.94/85,702.59 = 17,702.10/x
  3. Step 3: Cross multiply
    57,155.94x = 85,702.59 × 17,702.10
  4. Step 4: Simplify right side
    57,155.94x = 1,517,115,818.44
  5. Step 5: Solve for x
    x = 1,517,115,818.44/57,155.94
  6. Step 6: Final answer
    x = 26,543.45

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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.