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Finding the Fourth Proportional to 81,802.50, 122,769.36 and 42,370.89

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Solution

The fourth proportional to 81,802.50, 122,769.36 and 42,370.89 is: 63,590.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,802.50 : 122,769.36 = 42,370.89 : x
  2. Step 2: Convert to fraction form
    81,802.50/122,769.36 = 42,370.89/x
  3. Step 3: Cross multiply
    81,802.50x = 122,769.36 × 42,370.89
  4. Step 4: Simplify right side
    81,802.50x = 5,201,847,047.93
  5. Step 5: Solve for x
    x = 5,201,847,047.93/81,802.50
  6. Step 6: Final answer
    x = 63,590.32

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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.