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Finding the Fourth Proportional to 102,207, 153,310.50 and 28,335

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Solution

The fourth proportional to 102,207, 153,310.50 and 28,335 is: 42,502.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,207 : 153,310.50 = 28,335 : x
  2. Step 2: Convert to fraction form
    102,207/153,310.50 = 28,335/x
  3. Step 3: Cross multiply
    102,207x = 153,310.50 × 28,335
  4. Step 4: Simplify right side
    102,207x = 4,344,053,017.50
  5. Step 5: Solve for x
    x = 4,344,053,017.50/102,207
  6. Step 6: Final answer
    x = 42,502.50

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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.