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Finding the Fourth Proportional to 145,218.69, 217,841.49 and 56,478.87

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Solution

The fourth proportional to 145,218.69, 217,841.49 and 56,478.87 is: 84,723.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,218.69 : 217,841.49 = 56,478.87 : x
  2. Step 2: Convert to fraction form
    145,218.69/217,841.49 = 56,478.87/x
  3. Step 3: Cross multiply
    145,218.69x = 217,841.49 × 56,478.87
  4. Step 4: Simplify right side
    145,218.69x = 12,303,441,194.32
  5. Step 5: Solve for x
    x = 12,303,441,194.32/145,218.69
  6. Step 6: Final answer
    x = 84,723.54

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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.