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Finding the Fourth Proportional to 137,500.50, 189,758.16 and 77,090.52

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Solution

The fourth proportional to 137,500.50, 189,758.16 and 77,090.52 is: 106,389.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,500.50 : 189,758.16 = 77,090.52 : x
  2. Step 2: Convert to fraction form
    137,500.50/189,758.16 = 77,090.52/x
  3. Step 3: Cross multiply
    137,500.50x = 189,758.16 × 77,090.52
  4. Step 4: Simplify right side
    137,500.50x = 14,628,555,228.64
  5. Step 5: Solve for x
    x = 14,628,555,228.64/137,500.50
  6. Step 6: Final answer
    x = 106,389.11

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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.