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Finding the Fourth Proportional to 130,501, 180,091.56 and 70,885

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Solution

The fourth proportional to 130,501, 180,091.56 and 70,885 is: 97,821.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    130,501 : 180,091.56 = 70,885 : x
  2. Step 2: Convert to fraction form
    130,501/180,091.56 = 70,885/x
  3. Step 3: Cross multiply
    130,501x = 180,091.56 × 70,885
  4. Step 4: Simplify right side
    130,501x = 12,765,790,230.60
  5. Step 5: Solve for x
    x = 12,765,790,230.60/130,501
  6. Step 6: Final answer
    x = 97,821.40

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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.