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Finding the Fourth Proportional to 118,042.30, 162,782.65 and 74,946.98

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Solution

The fourth proportional to 118,042.30, 162,782.65 and 74,946.98 is: 103,353.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    118,042.30 : 162,782.65 = 74,946.98 : x
  2. Step 2: Convert to fraction form
    118,042.30/162,782.65 = 74,946.98/x
  3. Step 3: Cross multiply
    118,042.30x = 162,782.65 × 74,946.98
  4. Step 4: Simplify right side
    118,042.30x = 12,200,067,904.10
  5. Step 5: Solve for x
    x = 12,200,067,904.10/118,042.30
  6. Step 6: Final answer
    x = 103,353.36

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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.