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Finding the Fourth Proportional to 137,510.72, 189,776.40 and 77,080.40

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Solution

The fourth proportional to 137,510.72, 189,776.40 and 77,080.40 is: 106,377.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,510.72 : 189,776.40 = 77,080.40 : x
  2. Step 2: Convert to fraction form
    137,510.72/189,776.40 = 77,080.40/x
  3. Step 3: Cross multiply
    137,510.72x = 189,776.40 × 77,080.40
  4. Step 4: Simplify right side
    137,510.72x = 14,628,040,822.56
  5. Step 5: Solve for x
    x = 14,628,040,822.56/137,510.72
  6. Step 6: Final answer
    x = 106,377.46

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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.