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Finding the Fourth Proportional to 102,199, 153,307.14 and 28,327

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Solution

The fourth proportional to 102,199, 153,307.14 and 28,327 is: 42,492.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,199 : 153,307.14 = 28,327 : x
  2. Step 2: Convert to fraction form
    102,199/153,307.14 = 28,327/x
  3. Step 3: Cross multiply
    102,199x = 153,307.14 × 28,327
  4. Step 4: Simplify right side
    102,199x = 4,342,731,354.78
  5. Step 5: Solve for x
    x = 4,342,731,354.78/102,199
  6. Step 6: Final answer
    x = 42,492.89

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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.