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Finding the Fourth Proportional to 142,178.94, 213,246.54 and 47,410.77

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Solution

The fourth proportional to 142,178.94, 213,246.54 and 47,410.77 is: 71,108.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,178.94 : 213,246.54 = 47,410.77 : x
  2. Step 2: Convert to fraction form
    142,178.94/213,246.54 = 47,410.77/x
  3. Step 3: Cross multiply
    142,178.94x = 213,246.54 × 47,410.77
  4. Step 4: Simplify right side
    142,178.94x = 10,110,182,661.24
  5. Step 5: Solve for x
    x = 10,110,182,661.24/142,178.94
  6. Step 6: Final answer
    x = 71,108.86

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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.