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Finding the Fourth Proportional to 137,642.40, 189,745.46 and 97,284.96

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Solution

The fourth proportional to 137,642.40, 189,745.46 and 97,284.96 is: 134,111.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,642.40 : 189,745.46 = 97,284.96 : x
  2. Step 2: Convert to fraction form
    137,642.40/189,745.46 = 97,284.96/x
  3. Step 3: Cross multiply
    137,642.40x = 189,745.46 × 97,284.96
  4. Step 4: Simplify right side
    137,642.40x = 18,459,379,486.28
  5. Step 5: Solve for x
    x = 18,459,379,486.28/137,642.40
  6. Step 6: Final answer
    x = 134,111.14

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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.