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Finding the Fourth Proportional to 137,254.69, 189,419.88 and 76,829.10

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Solution

The fourth proportional to 137,254.69, 189,419.88 and 76,829.10 is: 106,028.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,254.69 : 189,419.88 = 76,829.10 : x
  2. Step 2: Convert to fraction form
    137,254.69/189,419.88 = 76,829.10/x
  3. Step 3: Cross multiply
    137,254.69x = 189,419.88 × 76,829.10
  4. Step 4: Simplify right side
    137,254.69x = 14,552,958,902.51
  5. Step 5: Solve for x
    x = 14,552,958,902.51/137,254.69
  6. Step 6: Final answer
    x = 106,028.86

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1.5x scale

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.