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Finding the Fourth Proportional to 137,540.16, 189,807.16 and 77,123.84

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Solution

The fourth proportional to 137,540.16, 189,807.16 and 77,123.84 is: 106,431.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,540.16 : 189,807.16 = 77,123.84 : x
  2. Step 2: Convert to fraction form
    137,540.16/189,807.16 = 77,123.84/x
  3. Step 3: Cross multiply
    137,540.16x = 189,807.16 × 77,123.84
  4. Step 4: Simplify right side
    137,540.16x = 14,638,657,038.69
  5. Step 5: Solve for x
    x = 14,638,657,038.69/137,540.16
  6. Step 6: Final answer
    x = 106,431.87

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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.