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Finding the Fourth Proportional to 130,716, 180,388.08 and 71,100

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Solution

The fourth proportional to 130,716, 180,388.08 and 71,100 is: 98,118

Step by Step Solution

  1. Step 1: Write the proportion equation
    130,716 : 180,388.08 = 71,100 : x
  2. Step 2: Convert to fraction form
    130,716/180,388.08 = 71,100/x
  3. Step 3: Cross multiply
    130,716x = 180,388.08 × 71,100
  4. Step 4: Simplify right side
    130,716x = 12,825,592,488
  5. Step 5: Solve for x
    x = 12,825,592,488/130,716
  6. Step 6: Final answer
    x = 98,118

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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.