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Finding the Fourth Proportional to 145,212.72, 217,832.52 and 56,472.90

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Solution

The fourth proportional to 145,212.72, 217,832.52 and 56,472.90 is: 84,714.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,212.72 : 217,832.52 = 56,472.90 : x
  2. Step 2: Convert to fraction form
    145,212.72/217,832.52 = 56,472.90/x
  3. Step 3: Cross multiply
    145,212.72x = 217,832.52 × 56,472.90
  4. Step 4: Simplify right side
    145,212.72x = 12,301,634,118.71
  5. Step 5: Solve for x
    x = 12,301,634,118.71/145,212.72
  6. Step 6: Final answer
    x = 84,714.58

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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.