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Finding the Fourth Proportional to 149,854, 224,781 and 39,046

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Solution

The fourth proportional to 149,854, 224,781 and 39,046 is: 58,569

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,854 : 224,781 = 39,046 : x
  2. Step 2: Convert to fraction form
    149,854/224,781 = 39,046/x
  3. Step 3: Cross multiply
    149,854x = 224,781 × 39,046
  4. Step 4: Simplify right side
    149,854x = 8,776,798,926
  5. Step 5: Solve for x
    x = 8,776,798,926/149,854
  6. Step 6: Final answer
    x = 58,569

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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.