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Finding the Fourth Proportional to 145,719.86, 218,640.29 and 69,780.20

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Solution

The fourth proportional to 145,719.86, 218,640.29 and 69,780.20 is: 104,699.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,719.86 : 218,640.29 = 69,780.20 : x
  2. Step 2: Convert to fraction form
    145,719.86/218,640.29 = 69,780.20/x
  3. Step 3: Cross multiply
    145,719.86x = 218,640.29 × 69,780.20
  4. Step 4: Simplify right side
    145,719.86x = 15,256,761,722.16
  5. Step 5: Solve for x
    x = 15,256,761,722.16/145,719.86
  6. Step 6: Final answer
    x = 104,699.27

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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.