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Finding the Fourth Proportional to 205,415.52, 283,472.64 and 114,779.76

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Solution

The fourth proportional to 205,415.52, 283,472.64 and 114,779.76 is: 158,395.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,415.52 : 283,472.64 = 114,779.76 : x
  2. Step 2: Convert to fraction form
    205,415.52/283,472.64 = 114,779.76/x
  3. Step 3: Cross multiply
    205,415.52x = 283,472.64 × 114,779.76
  4. Step 4: Simplify right side
    205,415.52x = 32,536,921,585.77
  5. Step 5: Solve for x
    x = 32,536,921,585.77/205,415.52
  6. Step 6: Final answer
    x = 158,395.63

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.