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Finding the Fourth Proportional to 157,470.70, 236,206.05 and 78,738.70

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Solution

The fourth proportional to 157,470.70, 236,206.05 and 78,738.70 is: 118,108.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,470.70 : 236,206.05 = 78,738.70 : x
  2. Step 2: Convert to fraction form
    157,470.70/236,206.05 = 78,738.70/x
  3. Step 3: Cross multiply
    157,470.70x = 236,206.05 × 78,738.70
  4. Step 4: Simplify right side
    157,470.70x = 18,598,557,309.14
  5. Step 5: Solve for x
    x = 18,598,557,309.14/157,470.70
  6. Step 6: Final answer
    x = 118,108.05

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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.