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Finding the Fourth Proportional to 145,982.80, 218,812.20 and 57,206.80

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Solution

The fourth proportional to 145,982.80, 218,812.20 and 57,206.80 is: 85,746.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,982.80 : 218,812.20 = 57,206.80 : x
  2. Step 2: Convert to fraction form
    145,982.80/218,812.20 = 57,206.80/x
  3. Step 3: Cross multiply
    145,982.80x = 218,812.20 × 57,206.80
  4. Step 4: Simplify right side
    145,982.80x = 12,517,545,762.96
  5. Step 5: Solve for x
    x = 12,517,545,762.96/145,982.80
  6. Step 6: Final answer
    x = 85,746.72

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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.