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Finding the Fourth Proportional to 145,930.38, 201,383.87 and 78,862.38

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Solution

The fourth proportional to 145,930.38, 201,383.87 and 78,862.38 is: 108,830.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,930.38 : 201,383.87 = 78,862.38 : x
  2. Step 2: Convert to fraction form
    145,930.38/201,383.87 = 78,862.38/x
  3. Step 3: Cross multiply
    145,930.38x = 201,383.87 × 78,862.38
  4. Step 4: Simplify right side
    145,930.38x = 15,881,610,887.50
  5. Step 5: Solve for x
    x = 15,881,610,887.50/145,930.38
  6. Step 6: Final answer
    x = 108,830.05

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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.