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Finding the Fourth Proportional to 65,816.58, 98,724.87 and 30,780.84

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Solution

The fourth proportional to 65,816.58, 98,724.87 and 30,780.84 is: 46,171.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,816.58 : 98,724.87 = 30,780.84 : x
  2. Step 2: Convert to fraction form
    65,816.58/98,724.87 = 30,780.84/x
  3. Step 3: Cross multiply
    65,816.58x = 98,724.87 × 30,780.84
  4. Step 4: Simplify right side
    65,816.58x = 3,038,834,427.49
  5. Step 5: Solve for x
    x = 3,038,834,427.49/65,816.58
  6. Step 6: Final answer
    x = 46,171.26

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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.