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Finding the Fourth Proportional to 205,500, 308,312.16 and 145,644.24

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Solution

The fourth proportional to 205,500, 308,312.16 and 145,644.24 is: 218,510.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,500 : 308,312.16 = 145,644.24 : x
  2. Step 2: Convert to fraction form
    205,500/308,312.16 = 145,644.24/x
  3. Step 3: Cross multiply
    205,500x = 308,312.16 × 145,644.24
  4. Step 4: Simplify right side
    205,500x = 44,903,890,225.96
  5. Step 5: Solve for x
    x = 44,903,890,225.96/205,500
  6. Step 6: Final answer
    x = 218,510.41

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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.