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Finding the Fourth Proportional to 147,652.34, 203,758.40 and 83,989.98

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Solution

The fourth proportional to 147,652.34, 203,758.40 and 83,989.98 is: 115,905.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    147,652.34 : 203,758.40 = 83,989.98 : x
  2. Step 2: Convert to fraction form
    147,652.34/203,758.40 = 83,989.98/x
  3. Step 3: Cross multiply
    147,652.34x = 203,758.40 × 83,989.98
  4. Step 4: Simplify right side
    147,652.34x = 17,113,664,150.81
  5. Step 5: Solve for x
    x = 17,113,664,150.81/147,652.34
  6. Step 6: Final answer
    x = 115,905.14

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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.