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Finding the Fourth Proportional to 81,656.61, 122,453.40 and 31,730.13

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Solution

The fourth proportional to 81,656.61, 122,453.40 and 31,730.13 is: 47,582.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,656.61 : 122,453.40 = 31,730.13 : x
  2. Step 2: Convert to fraction form
    81,656.61/122,453.40 = 31,730.13/x
  3. Step 3: Cross multiply
    81,656.61x = 122,453.40 × 31,730.13
  4. Step 4: Simplify right side
    81,656.61x = 3,885,462,300.94
  5. Step 5: Solve for x
    x = 3,885,462,300.94/81,656.61
  6. Step 6: Final answer
    x = 47,582.95

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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.