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Finding the Fourth Proportional to 130,444, 180,012.72 and 70,828

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Solution

The fourth proportional to 130,444, 180,012.72 and 70,828 is: 97,742.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    130,444 : 180,012.72 = 70,828 : x
  2. Step 2: Convert to fraction form
    130,444/180,012.72 = 70,828/x
  3. Step 3: Cross multiply
    130,444x = 180,012.72 × 70,828
  4. Step 4: Simplify right side
    130,444x = 12,749,940,932.16
  5. Step 5: Solve for x
    x = 12,749,940,932.16/130,444
  6. Step 6: Final answer
    x = 97,742.64

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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.