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Finding the Fourth Proportional to 102,210, 153,315 and 28,338

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Solution

The fourth proportional to 102,210, 153,315 and 28,338 is: 42,507

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,210 : 153,315 = 28,338 : x
  2. Step 2: Convert to fraction form
    102,210/153,315 = 28,338/x
  3. Step 3: Cross multiply
    102,210x = 153,315 × 28,338
  4. Step 4: Simplify right side
    102,210x = 4,344,640,470
  5. Step 5: Solve for x
    x = 4,344,640,470/102,210
  6. Step 6: Final answer
    x = 42,507

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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.