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Finding the Fourth Proportional to 137,497.52, 189,745.98 and 77,068.16

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Solution

The fourth proportional to 137,497.52, 189,745.98 and 77,068.16 is: 106,353.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,497.52 : 189,745.98 = 77,068.16 : x
  2. Step 2: Convert to fraction form
    137,497.52/189,745.98 = 77,068.16/x
  3. Step 3: Cross multiply
    137,497.52x = 189,745.98 × 77,068.16
  4. Step 4: Simplify right side
    137,497.52x = 14,623,373,546.00
  5. Step 5: Solve for x
    x = 14,623,373,546.00/137,497.52
  6. Step 6: Final answer
    x = 106,353.73

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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.