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Finding the Fourth Proportional to 142,838.78, 214,272.74 and 49,332.38

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Solution

The fourth proportional to 142,838.78, 214,272.74 and 49,332.38 is: 74,003.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,838.78 : 214,272.74 = 49,332.38 : x
  2. Step 2: Convert to fraction form
    142,838.78/214,272.74 = 49,332.38/x
  3. Step 3: Cross multiply
    142,838.78x = 214,272.74 × 49,332.38
  4. Step 4: Simplify right side
    142,838.78x = 10,570,583,285.29
  5. Step 5: Solve for x
    x = 10,570,583,285.29/142,838.78
  6. Step 6: Final answer
    x = 74,003.60

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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.