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Finding the Fourth Proportional to 156,363.98, 215,776.50 and 84,742.47

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Solution

The fourth proportional to 156,363.98, 215,776.50 and 84,742.47 is: 116,941.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    156,363.98 : 215,776.50 = 84,742.47 : x
  2. Step 2: Convert to fraction form
    156,363.98/215,776.50 = 84,742.47/x
  3. Step 3: Cross multiply
    156,363.98x = 215,776.50 × 84,742.47
  4. Step 4: Simplify right side
    156,363.98x = 18,285,433,577.96
  5. Step 5: Solve for x
    x = 18,285,433,577.96/156,363.98
  6. Step 6: Final answer
    x = 116,941.47

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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.