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Finding the Fourth Proportional to 156,891.49, 216,508.95 and 85,271.95

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Solution

The fourth proportional to 156,891.49, 216,508.95 and 85,271.95 is: 117,674.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    156,891.49 : 216,508.95 = 85,271.95 : x
  2. Step 2: Convert to fraction form
    156,891.49/216,508.95 = 85,271.95/x
  3. Step 3: Cross multiply
    156,891.49x = 216,508.95 × 85,271.95
  4. Step 4: Simplify right side
    156,891.49x = 18,462,140,358.95
  5. Step 5: Solve for x
    x = 18,462,140,358.95/156,891.49
  6. Step 6: Final answer
    x = 117,674.58

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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.