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Finding the Fourth Proportional to 142,952.34, 214,428.52 and 49,458.09

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Solution

The fourth proportional to 142,952.34, 214,428.52 and 49,458.09 is: 74,187.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,952.34 : 214,428.52 = 49,458.09 : x
  2. Step 2: Convert to fraction form
    142,952.34/214,428.52 = 49,458.09/x
  3. Step 3: Cross multiply
    142,952.34x = 214,428.52 × 49,458.09
  4. Step 4: Simplify right side
    142,952.34x = 10,605,225,628.45
  5. Step 5: Solve for x
    x = 10,605,225,628.45/142,952.34
  6. Step 6: Final answer
    x = 74,187.14

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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.