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Finding the Fourth Proportional to 105,807.75, 158,756.13 and 65,860.14

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Solution

The fourth proportional to 105,807.75, 158,756.13 and 65,860.14 is: 98,817.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,807.75 : 158,756.13 = 65,860.14 : x
  2. Step 2: Convert to fraction form
    105,807.75/158,756.13 = 65,860.14/x
  3. Step 3: Cross multiply
    105,807.75x = 158,756.13 × 65,860.14
  4. Step 4: Simplify right side
    105,807.75x = 10,455,700,947.66
  5. Step 5: Solve for x
    x = 10,455,700,947.66/105,807.75
  6. Step 6: Final answer
    x = 98,817.91

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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.