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Finding the Fourth Proportional to 145,025.54, 200,172.03 and 99,103.78

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Solution

The fourth proportional to 145,025.54, 200,172.03 and 99,103.78 is: 136,788.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,025.54 : 200,172.03 = 99,103.78 : x
  2. Step 2: Convert to fraction form
    145,025.54/200,172.03 = 99,103.78/x
  3. Step 3: Cross multiply
    145,025.54x = 200,172.03 × 99,103.78
  4. Step 4: Simplify right side
    145,025.54x = 19,837,804,823.27
  5. Step 5: Solve for x
    x = 19,837,804,823.27/145,025.54
  6. Step 6: Final answer
    x = 136,788.35

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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.