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Finding the Fourth Proportional to 189,987.36, 284,779.80 and 71,607.84

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Solution

The fourth proportional to 189,987.36, 284,779.80 and 71,607.84 is: 107,335.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,987.36 : 284,779.80 = 71,607.84 : x
  2. Step 2: Convert to fraction form
    189,987.36/284,779.80 = 71,607.84/x
  3. Step 3: Cross multiply
    189,987.36x = 284,779.80 × 71,607.84
  4. Step 4: Simplify right side
    189,987.36x = 20,392,466,353.63
  5. Step 5: Solve for x
    x = 20,392,466,353.63/189,987.36
  6. Step 6: Final answer
    x = 107,335.91

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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.