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Finding the Fourth Proportional to 105,994.35, 159,007.65 and 65,980.95

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Solution

The fourth proportional to 105,994.35, 159,007.65 and 65,980.95 is: 98,981.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,994.35 : 159,007.65 = 65,980.95 : x
  2. Step 2: Convert to fraction form
    105,994.35/159,007.65 = 65,980.95/x
  3. Step 3: Cross multiply
    105,994.35x = 159,007.65 × 65,980.95
  4. Step 4: Simplify right side
    105,994.35x = 10,491,475,804.27
  5. Step 5: Solve for x
    x = 10,491,475,804.27/105,994.35
  6. Step 6: Final answer
    x = 98,981.46

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1.5x scale

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.