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Finding the Fourth Proportional to 189,638.77, 284,570.38 and 69,779.89

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Solution

The fourth proportional to 189,638.77, 284,570.38 and 69,779.89 is: 104,711.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,638.77 : 284,570.38 = 69,779.89 : x
  2. Step 2: Convert to fraction form
    189,638.77/284,570.38 = 69,779.89/x
  3. Step 3: Cross multiply
    189,638.77x = 284,570.38 × 69,779.89
  4. Step 4: Simplify right side
    189,638.77x = 19,857,288,041.91
  5. Step 5: Solve for x
    x = 19,857,288,041.91/189,638.77
  6. Step 6: Final answer
    x = 104,711.12

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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.