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Finding the Fourth Proportional to 130,467, 180,044.46 and 70,851

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Solution

The fourth proportional to 130,467, 180,044.46 and 70,851 is: 97,774.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    130,467 : 180,044.46 = 70,851 : x
  2. Step 2: Convert to fraction form
    130,467/180,044.46 = 70,851/x
  3. Step 3: Cross multiply
    130,467x = 180,044.46 × 70,851
  4. Step 4: Simplify right side
    130,467x = 12,756,330,035.46
  5. Step 5: Solve for x
    x = 12,756,330,035.46/130,467
  6. Step 6: Final answer
    x = 97,774.38

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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.