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Finding the Fourth Proportional to 102,171.33, 153,204.30 and 45,963.45

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Solution

The fourth proportional to 102,171.33, 153,204.30 and 45,963.45 is: 68,921.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,171.33 : 153,204.30 = 45,963.45 : x
  2. Step 2: Convert to fraction form
    102,171.33/153,204.30 = 45,963.45/x
  3. Step 3: Cross multiply
    102,171.33x = 153,204.30 × 45,963.45
  4. Step 4: Simplify right side
    102,171.33x = 7,041,798,182.84
  5. Step 5: Solve for x
    x = 7,041,798,182.84/102,171.33
  6. Step 6: Final answer
    x = 68,921.47

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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.