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Finding the Fourth Proportional to 142,777.94, 214,197.55 and 42,929.78

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Solution

The fourth proportional to 142,777.94, 214,197.55 and 42,929.78 is: 64,403.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,777.94 : 214,197.55 = 42,929.78 : x
  2. Step 2: Convert to fraction form
    142,777.94/214,197.55 = 42,929.78/x
  3. Step 3: Cross multiply
    142,777.94x = 214,197.55 × 42,929.78
  4. Step 4: Simplify right side
    142,777.94x = 9,195,453,698.04
  5. Step 5: Solve for x
    x = 9,195,453,698.04/142,777.94
  6. Step 6: Final answer
    x = 64,403.88

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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.