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Finding the Fourth Proportional to 105,008.80, 157,458.80 and 31,127.20

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Solution

The fourth proportional to 105,008.80, 157,458.80 and 31,127.20 is: 46,674.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,008.80 : 157,458.80 = 31,127.20 : x
  2. Step 2: Convert to fraction form
    105,008.80/157,458.80 = 31,127.20/x
  3. Step 3: Cross multiply
    105,008.80x = 157,458.80 × 31,127.20
  4. Step 4: Simplify right side
    105,008.80x = 4,901,251,559.36
  5. Step 5: Solve for x
    x = 4,901,251,559.36/105,008.80
  6. Step 6: Final answer
    x = 46,674.67

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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.