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Finding the Fourth Proportional to 149,855, 224,782.50 and 39,047

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Solution

The fourth proportional to 149,855, 224,782.50 and 39,047 is: 58,570.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,855 : 224,782.50 = 39,047 : x
  2. Step 2: Convert to fraction form
    149,855/224,782.50 = 39,047/x
  3. Step 3: Cross multiply
    149,855x = 224,782.50 × 39,047
  4. Step 4: Simplify right side
    149,855x = 8,777,082,277.50
  5. Step 5: Solve for x
    x = 8,777,082,277.50/149,855
  6. Step 6: Final answer
    x = 58,570.50

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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.