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Finding the Fourth Proportional to 102,848.70, 154,200.15 and 39,644.40

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Solution

The fourth proportional to 102,848.70, 154,200.15 and 39,644.40 is: 59,438.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,848.70 : 154,200.15 = 39,644.40 : x
  2. Step 2: Convert to fraction form
    102,848.70/154,200.15 = 39,644.40/x
  3. Step 3: Cross multiply
    102,848.70x = 154,200.15 × 39,644.40
  4. Step 4: Simplify right side
    102,848.70x = 6,113,172,426.66
  5. Step 5: Solve for x
    x = 6,113,172,426.66/102,848.70
  6. Step 6: Final answer
    x = 59,438.50

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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.