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Finding the Fourth Proportional to 142,678.61, 214,027.14 and 47,904.96

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Solution

The fourth proportional to 142,678.61, 214,027.14 and 47,904.96 is: 71,860.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,678.61 : 214,027.14 = 47,904.96 : x
  2. Step 2: Convert to fraction form
    142,678.61/214,027.14 = 47,904.96/x
  3. Step 3: Cross multiply
    142,678.61x = 214,027.14 × 47,904.96
  4. Step 4: Simplify right side
    142,678.61x = 10,252,961,580.61
  5. Step 5: Solve for x
    x = 10,252,961,580.61/142,678.61
  6. Step 6: Final answer
    x = 71,860.54

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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.