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Finding the Fourth Proportional to 102,208, 153,312 and 28,336

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Solution

The fourth proportional to 102,208, 153,312 and 28,336 is: 42,504

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,208 : 153,312 = 28,336 : x
  2. Step 2: Convert to fraction form
    102,208/153,312 = 28,336/x
  3. Step 3: Cross multiply
    102,208x = 153,312 × 28,336
  4. Step 4: Simplify right side
    102,208x = 4,344,248,832
  5. Step 5: Solve for x
    x = 4,344,248,832/102,208
  6. Step 6: Final answer
    x = 42,504

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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.