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Finding the Fourth Proportional to 145,393.80, 217,928.70 and 56,617.80

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Solution

The fourth proportional to 145,393.80, 217,928.70 and 56,617.80 is: 84,863.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,393.80 : 217,928.70 = 56,617.80 : x
  2. Step 2: Convert to fraction form
    145,393.80/217,928.70 = 56,617.80/x
  3. Step 3: Cross multiply
    145,393.80x = 217,928.70 × 56,617.80
  4. Step 4: Simplify right side
    145,393.80x = 12,338,643,550.86
  5. Step 5: Solve for x
    x = 12,338,643,550.86/145,393.80
  6. Step 6: Final answer
    x = 84,863.62

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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.