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Finding the Fourth Proportional to 130,700, 180,369.84 and 71,087.84

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Solution

The fourth proportional to 130,700, 180,369.84 and 71,087.84 is: 98,103.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    130,700 : 180,369.84 = 71,087.84 : x
  2. Step 2: Convert to fraction form
    130,700/180,369.84 = 71,087.84/x
  3. Step 3: Cross multiply
    130,700x = 180,369.84 × 71,087.84
  4. Step 4: Simplify right side
    130,700x = 12,822,102,326.75
  5. Step 5: Solve for x
    x = 12,822,102,326.75/130,700
  6. Step 6: Final answer
    x = 98,103.31

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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.