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Finding the Fourth Proportional to 105,048.46, 157,548.70 and 30,168.02

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Solution

The fourth proportional to 105,048.46, 157,548.70 and 30,168.02 is: 45,245.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,048.46 : 157,548.70 = 30,168.02 : x
  2. Step 2: Convert to fraction form
    105,048.46/157,548.70 = 30,168.02/x
  3. Step 3: Cross multiply
    105,048.46x = 157,548.70 × 30,168.02
  4. Step 4: Simplify right side
    105,048.46x = 4,752,932,332.57
  5. Step 5: Solve for x
    x = 4,752,932,332.57/105,048.46
  6. Step 6: Final answer
    x = 45,245.14

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.