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Finding the Fourth Proportional to 105,354.60, 158,008.17 and 30,458.07

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Solution

The fourth proportional to 105,354.60, 158,008.17 and 30,458.07 is: 45,680.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,354.60 : 158,008.17 = 30,458.07 : x
  2. Step 2: Convert to fraction form
    105,354.60/158,008.17 = 30,458.07/x
  3. Step 3: Cross multiply
    105,354.60x = 158,008.17 × 30,458.07
  4. Step 4: Simplify right side
    105,354.60x = 4,812,623,902.43
  5. Step 5: Solve for x
    x = 4,812,623,902.43/105,354.60
  6. Step 6: Final answer
    x = 45,680.24

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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.