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Finding the Fourth Proportional to 102,209, 153,313.50 and 28,337

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Solution

The fourth proportional to 102,209, 153,313.50 and 28,337 is: 42,505.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,209 : 153,313.50 = 28,337 : x
  2. Step 2: Convert to fraction form
    102,209/153,313.50 = 28,337/x
  3. Step 3: Cross multiply
    102,209x = 153,313.50 × 28,337
  4. Step 4: Simplify right side
    102,209x = 4,344,444,649.50
  5. Step 5: Solve for x
    x = 4,344,444,649.50/102,209
  6. Step 6: Final answer
    x = 42,505.50

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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.