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Finding the Fourth Proportional to 171,779.77, 257,708.10 and 51,838.79

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Solution

The fourth proportional to 171,779.77, 257,708.10 and 51,838.79 is: 77,769.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    171,779.77 : 257,708.10 = 51,838.79 : x
  2. Step 2: Convert to fraction form
    171,779.77/257,708.10 = 51,838.79/x
  3. Step 3: Cross multiply
    171,779.77x = 257,708.10 × 51,838.79
  4. Step 4: Simplify right side
    171,779.77x = 13,359,276,077.20
  5. Step 5: Solve for x
    x = 13,359,276,077.20/171,779.77
  6. Step 6: Final answer
    x = 77,769.79

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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.