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Finding the Fourth Proportional to 142,980.76, 214,389.04 and 54,177.72

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Solution

The fourth proportional to 142,980.76, 214,389.04 and 54,177.72 is: 81,235.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,980.76 : 214,389.04 = 54,177.72 : x
  2. Step 2: Convert to fraction form
    142,980.76/214,389.04 = 54,177.72/x
  3. Step 3: Cross multiply
    142,980.76x = 214,389.04 × 54,177.72
  4. Step 4: Simplify right side
    142,980.76x = 11,615,109,380.19
  5. Step 5: Solve for x
    x = 11,615,109,380.19/142,980.76
  6. Step 6: Final answer
    x = 81,235.47

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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.