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Finding the Fourth Proportional to 145,807.84, 201,215.36 and 82,146.72

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Solution

The fourth proportional to 145,807.84, 201,215.36 and 82,146.72 is: 113,362.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,807.84 : 201,215.36 = 82,146.72 : x
  2. Step 2: Convert to fraction form
    145,807.84/201,215.36 = 82,146.72/x
  3. Step 3: Cross multiply
    145,807.84x = 201,215.36 × 82,146.72
  4. Step 4: Simplify right side
    145,807.84x = 16,529,181,837.62
  5. Step 5: Solve for x
    x = 16,529,181,837.62/145,807.84
  6. Step 6: Final answer
    x = 113,362.78

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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.