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Finding the Fourth Proportional to 81,988.51, 122,900.74 and 70,698.13

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Solution

The fourth proportional to 81,988.51, 122,900.74 and 70,698.13 is: 105,976.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,988.51 : 122,900.74 = 70,698.13 : x
  2. Step 2: Convert to fraction form
    81,988.51/122,900.74 = 70,698.13/x
  3. Step 3: Cross multiply
    81,988.51x = 122,900.74 × 70,698.13
  4. Step 4: Simplify right side
    81,988.51x = 8,688,852,493.62
  5. Step 5: Solve for x
    x = 8,688,852,493.62/81,988.51
  6. Step 6: Final answer
    x = 105,976.47

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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.