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Finding the Fourth Proportional to 56,471.40, 84,714.93 and 19,042.20

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Solution

The fourth proportional to 56,471.40, 84,714.93 and 19,042.20 is: 28,565.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,471.40 : 84,714.93 = 19,042.20 : x
  2. Step 2: Convert to fraction form
    56,471.40/84,714.93 = 19,042.20/x
  3. Step 3: Cross multiply
    56,471.40x = 84,714.93 × 19,042.20
  4. Step 4: Simplify right side
    56,471.40x = 1,613,158,640.05
  5. Step 5: Solve for x
    x = 1,613,158,640.05/56,471.40
  6. Step 6: Final answer
    x = 28,565.94

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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.