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Finding the Fourth Proportional to 156,695.83, 216,240.23 and 85,075.86

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Solution

The fourth proportional to 156,695.83, 216,240.23 and 85,075.86 is: 117,404.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    156,695.83 : 216,240.23 = 85,075.86 : x
  2. Step 2: Convert to fraction form
    156,695.83/216,240.23 = 85,075.86/x
  3. Step 3: Cross multiply
    156,695.83x = 216,240.23 × 85,075.86
  4. Step 4: Simplify right side
    156,695.83x = 18,396,822,935.64
  5. Step 5: Solve for x
    x = 18,396,822,935.64/156,695.83
  6. Step 6: Final answer
    x = 117,404.68

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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.