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Finding the Fourth Proportional to 285,127.70, 427,772.34 and 142,801.08

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Solution

The fourth proportional to 285,127.70, 427,772.34 and 142,801.08 is: 214,242.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    285,127.70 : 427,772.34 = 142,801.08 : x
  2. Step 2: Convert to fraction form
    285,127.70/427,772.34 = 142,801.08/x
  3. Step 3: Cross multiply
    285,127.70x = 427,772.34 × 142,801.08
  4. Step 4: Simplify right side
    285,127.70x = 61,086,350,541.98
  5. Step 5: Solve for x
    x = 61,086,350,541.98/285,127.70
  6. Step 6: Final answer
    x = 214,242.08

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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.