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Finding the Fourth Proportional to 104,705, 157,029.76 and 45,527.22

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Solution

The fourth proportional to 104,705, 157,029.76 and 45,527.22 is: 68,278.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    104,705 : 157,029.76 = 45,527.22 : x
  2. Step 2: Convert to fraction form
    104,705/157,029.76 = 45,527.22/x
  3. Step 3: Cross multiply
    104,705x = 157,029.76 × 45,527.22
  4. Step 4: Simplify right side
    104,705x = 7,149,128,430.07
  5. Step 5: Solve for x
    x = 7,149,128,430.07/104,705
  6. Step 6: Final answer
    x = 68,278.77

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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.