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Finding the Fourth Proportional to 145,980.44, 201,459.92 and 82,316.87

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Solution

The fourth proportional to 145,980.44, 201,459.92 and 82,316.87 is: 113,601.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,980.44 : 201,459.92 = 82,316.87 : x
  2. Step 2: Convert to fraction form
    145,980.44/201,459.92 = 82,316.87/x
  3. Step 3: Cross multiply
    145,980.44x = 201,459.92 × 82,316.87
  4. Step 4: Simplify right side
    145,980.44x = 16,583,548,625.97
  5. Step 5: Solve for x
    x = 16,583,548,625.97/145,980.44
  6. Step 6: Final answer
    x = 113,601.17

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.