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Finding the Fourth Proportional to 130,682, 180,341.80 and 71,066

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Solution

The fourth proportional to 130,682, 180,341.80 and 71,066 is: 98,071.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    130,682 : 180,341.80 = 71,066 : x
  2. Step 2: Convert to fraction form
    130,682/180,341.80 = 71,066/x
  3. Step 3: Cross multiply
    130,682x = 180,341.80 × 71,066
  4. Step 4: Simplify right side
    130,682x = 12,816,170,358.80
  5. Step 5: Solve for x
    x = 12,816,170,358.80/130,682
  6. Step 6: Final answer
    x = 98,071.43

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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.