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Finding the Fourth Proportional to 56,145.84, 84,218.70 and 16,702.86

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Solution

The fourth proportional to 56,145.84, 84,218.70 and 16,702.86 is: 25,054.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,145.84 : 84,218.70 = 16,702.86 : x
  2. Step 2: Convert to fraction form
    56,145.84/84,218.70 = 16,702.86/x
  3. Step 3: Cross multiply
    56,145.84x = 84,218.70 × 16,702.86
  4. Step 4: Simplify right side
    56,145.84x = 1,406,693,155.48
  5. Step 5: Solve for x
    x = 1,406,693,155.48/56,145.84
  6. Step 6: Final answer
    x = 25,054.27

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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.