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Finding the Fourth Proportional to 145,148.46, 217,736.46 and 56,408.82

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Solution

The fourth proportional to 145,148.46, 217,736.46 and 56,408.82 is: 84,618.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,148.46 : 217,736.46 = 56,408.82 : x
  2. Step 2: Convert to fraction form
    145,148.46/217,736.46 = 56,408.82/x
  3. Step 3: Cross multiply
    145,148.46x = 217,736.46 × 56,408.82
  4. Step 4: Simplify right side
    145,148.46x = 12,282,256,779.58
  5. Step 5: Solve for x
    x = 12,282,256,779.58/145,148.46
  6. Step 6: Final answer
    x = 84,618.58

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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.