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Finding the Fourth Proportional to 142,969.12, 214,455.30 and 49,453

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Solution

The fourth proportional to 142,969.12, 214,455.30 and 49,453 is: 74,180.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,969.12 : 214,455.30 = 49,453 : x
  2. Step 2: Convert to fraction form
    142,969.12/214,455.30 = 49,453/x
  3. Step 3: Cross multiply
    142,969.12x = 214,455.30 × 49,453
  4. Step 4: Simplify right side
    142,969.12x = 10,605,457,950.90
  5. Step 5: Solve for x
    x = 10,605,457,950.90/142,969.12
  6. Step 6: Final answer
    x = 74,180.06

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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.