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Finding the Fourth Proportional to 130,206, 179,662.68 and 81,800.40

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Solution

The fourth proportional to 130,206, 179,662.68 and 81,800.40 is: 112,870.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    130,206 : 179,662.68 = 81,800.40 : x
  2. Step 2: Convert to fraction form
    130,206/179,662.68 = 81,800.40/x
  3. Step 3: Cross multiply
    130,206x = 179,662.68 × 81,800.40
  4. Step 4: Simplify right side
    130,206x = 14,696,479,089.07
  5. Step 5: Solve for x
    x = 14,696,479,089.07/130,206
  6. Step 6: Final answer
    x = 112,870.98

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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.