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Finding the Fourth Proportional to 137,574, 189,852.20 and 81,020.24

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Solution

The fourth proportional to 137,574, 189,852.20 and 81,020.24 is: 111,807.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,574 : 189,852.20 = 81,020.24 : x
  2. Step 2: Convert to fraction form
    137,574/189,852.20 = 81,020.24/x
  3. Step 3: Cross multiply
    137,574x = 189,852.20 × 81,020.24
  4. Step 4: Simplify right side
    137,574x = 15,381,870,808.53
  5. Step 5: Solve for x
    x = 15,381,870,808.53/137,574
  6. Step 6: Final answer
    x = 111,807.98

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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.