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Finding the Fourth Proportional to 137,457.72, 189,690.03 and 77,028.12

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Solution

The fourth proportional to 137,457.72, 189,690.03 and 77,028.12 is: 106,297.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,457.72 : 189,690.03 = 77,028.12 : x
  2. Step 2: Convert to fraction form
    137,457.72/189,690.03 = 77,028.12/x
  3. Step 3: Cross multiply
    137,457.72x = 189,690.03 × 77,028.12
  4. Step 4: Simplify right side
    137,457.72x = 14,611,466,393.64
  5. Step 5: Solve for x
    x = 14,611,466,393.64/137,457.72
  6. Step 6: Final answer
    x = 106,297.90

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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.