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Finding the Fourth Proportional to 262,319.60, 392,664.87 and 142,077.90

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Solution

The fourth proportional to 262,319.60, 392,664.87 and 142,077.90 is: 212,675.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    262,319.60 : 392,664.87 = 142,077.90 : x
  2. Step 2: Convert to fraction form
    262,319.60/392,664.87 = 142,077.90/x
  3. Step 3: Cross multiply
    262,319.60x = 392,664.87 × 142,077.90
  4. Step 4: Simplify right side
    262,319.60x = 55,789,000,133.37
  5. Step 5: Solve for x
    x = 55,789,000,133.37/262,319.60
  6. Step 6: Final answer
    x = 212,675.68

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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.