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Finding the Fourth Proportional to 145,398, 200,652.48 and 88,840.56

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Solution

The fourth proportional to 145,398, 200,652.48 and 88,840.56 is: 122,601.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,398 : 200,652.48 = 88,840.56 : x
  2. Step 2: Convert to fraction form
    145,398/200,652.48 = 88,840.56/x
  3. Step 3: Cross multiply
    145,398x = 200,652.48 × 88,840.56
  4. Step 4: Simplify right side
    145,398x = 17,826,078,688.59
  5. Step 5: Solve for x
    x = 17,826,078,688.59/145,398
  6. Step 6: Final answer
    x = 122,601.95

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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.