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Finding the Fourth Proportional to 142,762.78, 214,145.88 and 67,890.16

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Solution

The fourth proportional to 142,762.78, 214,145.88 and 67,890.16 is: 101,836.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,762.78 : 214,145.88 = 67,890.16 : x
  2. Step 2: Convert to fraction form
    142,762.78/214,145.88 = 67,890.16/x
  3. Step 3: Cross multiply
    142,762.78x = 214,145.88 × 67,890.16
  4. Step 4: Simplify right side
    142,762.78x = 14,538,398,056.54
  5. Step 5: Solve for x
    x = 14,538,398,056.54/142,762.78
  6. Step 6: Final answer
    x = 101,836.05

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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.