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Finding the Fourth Proportional to 130,481, 180,063.84 and 70,865

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Solution

The fourth proportional to 130,481, 180,063.84 and 70,865 is: 97,793.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    130,481 : 180,063.84 = 70,865 : x
  2. Step 2: Convert to fraction form
    130,481/180,063.84 = 70,865/x
  3. Step 3: Cross multiply
    130,481x = 180,063.84 × 70,865
  4. Step 4: Simplify right side
    130,481x = 12,760,224,021.60
  5. Step 5: Solve for x
    x = 12,760,224,021.60/130,481
  6. Step 6: Final answer
    x = 97,793.73

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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.