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Finding the Fourth Proportional to 315,013, 472,519.50 and 81,541

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Solution

The fourth proportional to 315,013, 472,519.50 and 81,541 is: 122,311.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    315,013 : 472,519.50 = 81,541 : x
  2. Step 2: Convert to fraction form
    315,013/472,519.50 = 81,541/x
  3. Step 3: Cross multiply
    315,013x = 472,519.50 × 81,541
  4. Step 4: Simplify right side
    315,013x = 38,529,712,549.50
  5. Step 5: Solve for x
    x = 38,529,712,549.50/315,013
  6. Step 6: Final answer
    x = 122,311.50

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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.