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Finding the Fourth Proportional to 141,802.70, 195,678.50 and 78,140.50

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Solution

The fourth proportional to 141,802.70, 195,678.50 and 78,140.50 is: 107,828.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    141,802.70 : 195,678.50 = 78,140.50 : x
  2. Step 2: Convert to fraction form
    141,802.70/195,678.50 = 78,140.50/x
  3. Step 3: Cross multiply
    141,802.70x = 195,678.50 × 78,140.50
  4. Step 4: Simplify right side
    141,802.70x = 15,290,414,949.35
  5. Step 5: Solve for x
    x = 15,290,414,949.35/141,802.70
  6. Step 6: Final answer
    x = 107,828.80

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.