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Finding the Fourth Proportional to 156,643.90, 216,168.79 and 85,023.93

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Solution

The fourth proportional to 156,643.90, 216,168.79 and 85,023.93 is: 117,333.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    156,643.90 : 216,168.79 = 85,023.93 : x
  2. Step 2: Convert to fraction form
    156,643.90/216,168.79 = 85,023.93/x
  3. Step 3: Cross multiply
    156,643.90x = 216,168.79 × 85,023.93
  4. Step 4: Simplify right side
    156,643.90x = 18,379,520,069.14
  5. Step 5: Solve for x
    x = 18,379,520,069.14/156,643.90
  6. Step 6: Final answer
    x = 117,333.14

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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.