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Finding the Fourth Proportional to 285,083.61, 427,706.15 and 142,757.07

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Solution

The fourth proportional to 285,083.61, 427,706.15 and 142,757.07 is: 214,176.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    285,083.61 : 427,706.15 = 142,757.07 : x
  2. Step 2: Convert to fraction form
    285,083.61/427,706.15 = 142,757.07/x
  3. Step 3: Cross multiply
    285,083.61x = 427,706.15 × 142,757.07
  4. Step 4: Simplify right side
    285,083.61x = 61,058,076,081.20
  5. Step 5: Solve for x
    x = 61,058,076,081.20/285,083.61
  6. Step 6: Final answer
    x = 214,176.03

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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.