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Finding the Fourth Proportional to 105,010.80, 157,461.80 and 31,129.20

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Solution

The fourth proportional to 105,010.80, 157,461.80 and 31,129.20 is: 46,677.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,010.80 : 157,461.80 = 31,129.20 : x
  2. Step 2: Convert to fraction form
    105,010.80/157,461.80 = 31,129.20/x
  3. Step 3: Cross multiply
    105,010.80x = 157,461.80 × 31,129.20
  4. Step 4: Simplify right side
    105,010.80x = 4,901,659,864.56
  5. Step 5: Solve for x
    x = 4,901,659,864.56/105,010.80
  6. Step 6: Final answer
    x = 46,677.67

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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.