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Finding the Fourth Proportional to 130,498, 180,087.42 and 70,882

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Solution

The fourth proportional to 130,498, 180,087.42 and 70,882 is: 97,817.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    130,498 : 180,087.42 = 70,882 : x
  2. Step 2: Convert to fraction form
    130,498/180,087.42 = 70,882/x
  3. Step 3: Cross multiply
    130,498x = 180,087.42 × 70,882
  4. Step 4: Simplify right side
    130,498x = 12,764,956,504.44
  5. Step 5: Solve for x
    x = 12,764,956,504.44/130,498
  6. Step 6: Final answer
    x = 97,817.26

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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.