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Finding the Fourth Proportional to 105,016.80, 157,470.80 and 31,135.20

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Solution

The fourth proportional to 105,016.80, 157,470.80 and 31,135.20 is: 46,686.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,016.80 : 157,470.80 = 31,135.20 : x
  2. Step 2: Convert to fraction form
    105,016.80/157,470.80 = 31,135.20/x
  3. Step 3: Cross multiply
    105,016.80x = 157,470.80 × 31,135.20
  4. Step 4: Simplify right side
    105,016.80x = 4,902,884,852.16
  5. Step 5: Solve for x
    x = 4,902,884,852.16/105,016.80
  6. Step 6: Final answer
    x = 46,686.67

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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.