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Finding the Fourth Proportional to 162,042.76, 243,149.49 and 83,156.98

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Solution

The fourth proportional to 162,042.76, 243,149.49 and 83,156.98 is: 124,779.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    162,042.76 : 243,149.49 = 83,156.98 : x
  2. Step 2: Convert to fraction form
    162,042.76/243,149.49 = 83,156.98/x
  3. Step 3: Cross multiply
    162,042.76x = 243,149.49 × 83,156.98
  4. Step 4: Simplify right side
    162,042.76x = 20,219,577,276.94
  5. Step 5: Solve for x
    x = 20,219,577,276.94/162,042.76
  6. Step 6: Final answer
    x = 124,779.27

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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.