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Finding the Fourth Proportional to 315,014, 472,521 and 81,542

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Solution

The fourth proportional to 315,014, 472,521 and 81,542 is: 122,313

Step by Step Solution

  1. Step 1: Write the proportion equation
    315,014 : 472,521 = 81,542 : x
  2. Step 2: Convert to fraction form
    315,014/472,521 = 81,542/x
  3. Step 3: Cross multiply
    315,014x = 472,521 × 81,542
  4. Step 4: Simplify right side
    315,014x = 38,530,307,382
  5. Step 5: Solve for x
    x = 38,530,307,382/315,014
  6. Step 6: Final answer
    x = 122,313

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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.