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Finding the Fourth Proportional to 102,705.54, 154,058.31 and 38,675.70

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Solution

The fourth proportional to 102,705.54, 154,058.31 and 38,675.70 is: 58,013.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,705.54 : 154,058.31 = 38,675.70 : x
  2. Step 2: Convert to fraction form
    102,705.54/154,058.31 = 38,675.70/x
  3. Step 3: Cross multiply
    102,705.54x = 154,058.31 × 38,675.70
  4. Step 4: Simplify right side
    102,705.54x = 5,958,312,980.07
  5. Step 5: Solve for x
    x = 5,958,312,980.07/102,705.54
  6. Step 6: Final answer
    x = 58,013.55

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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.