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Finding the Fourth Proportional to 145,517.70, 218,285.76 and 45,681.84

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Solution

The fourth proportional to 145,517.70, 218,285.76 and 45,681.84 is: 68,525.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,517.70 : 218,285.76 = 45,681.84 : x
  2. Step 2: Convert to fraction form
    145,517.70/218,285.76 = 45,681.84/x
  3. Step 3: Cross multiply
    145,517.70x = 218,285.76 × 45,681.84
  4. Step 4: Simplify right side
    145,517.70x = 9,971,695,162.60
  5. Step 5: Solve for x
    x = 9,971,695,162.60/145,517.70
  6. Step 6: Final answer
    x = 68,525.65

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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.