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Finding the Fourth Proportional to 102,118, 153,185.64 and 28,246

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Solution

The fourth proportional to 102,118, 153,185.64 and 28,246 is: 42,371.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,118 : 153,185.64 = 28,246 : x
  2. Step 2: Convert to fraction form
    102,118/153,185.64 = 28,246/x
  3. Step 3: Cross multiply
    102,118x = 153,185.64 × 28,246
  4. Step 4: Simplify right side
    102,118x = 4,326,881,587.44
  5. Step 5: Solve for x
    x = 4,326,881,587.44/102,118
  6. Step 6: Final answer
    x = 42,371.39

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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.