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Finding the Fourth Proportional to 81,838.80, 122,680.08 and 46,710.72

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Solution

The fourth proportional to 81,838.80, 122,680.08 and 46,710.72 is: 70,021.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,838.80 : 122,680.08 = 46,710.72 : x
  2. Step 2: Convert to fraction form
    81,838.80/122,680.08 = 46,710.72/x
  3. Step 3: Cross multiply
    81,838.80x = 122,680.08 × 46,710.72
  4. Step 4: Simplify right side
    81,838.80x = 5,730,474,866.46
  5. Step 5: Solve for x
    x = 5,730,474,866.46/81,838.80
  6. Step 6: Final answer
    x = 70,021.49

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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.