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Finding the Fourth Proportional to 128,977.74, 178,076.04 and 98,709

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Solution

The fourth proportional to 128,977.74, 178,076.04 and 98,709 is: 136,284.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    128,977.74 : 178,076.04 = 98,709 : x
  2. Step 2: Convert to fraction form
    128,977.74/178,076.04 = 98,709/x
  3. Step 3: Cross multiply
    128,977.74x = 178,076.04 × 98,709
  4. Step 4: Simplify right side
    128,977.74x = 17,577,707,832.36
  5. Step 5: Solve for x
    x = 17,577,707,832.36/128,977.74
  6. Step 6: Final answer
    x = 136,284.82

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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.