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Finding the Fourth Proportional to 130,546, 180,154.56 and 70,930

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Solution

The fourth proportional to 130,546, 180,154.56 and 70,930 is: 97,883.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    130,546 : 180,154.56 = 70,930 : x
  2. Step 2: Convert to fraction form
    130,546/180,154.56 = 70,930/x
  3. Step 3: Cross multiply
    130,546x = 180,154.56 × 70,930
  4. Step 4: Simplify right side
    130,546x = 12,778,362,940.80
  5. Step 5: Solve for x
    x = 12,778,362,940.80/130,546
  6. Step 6: Final answer
    x = 97,883.99

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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.