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Finding the Fourth Proportional to 145,584.94, 218,247.44 and 56,817.76

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Solution

The fourth proportional to 145,584.94, 218,247.44 and 56,817.76 is: 85,175.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,584.94 : 218,247.44 = 56,817.76 : x
  2. Step 2: Convert to fraction form
    145,584.94/218,247.44 = 56,817.76/x
  3. Step 3: Cross multiply
    145,584.94x = 218,247.44 × 56,817.76
  4. Step 4: Simplify right side
    145,584.94x = 12,400,330,666.53
  5. Step 5: Solve for x
    x = 12,400,330,666.53/145,584.94
  6. Step 6: Final answer
    x = 85,175.92

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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.