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Finding the Fourth Proportional to 178,205.81, 245,931.41 and 97,640.33

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Solution

The fourth proportional to 178,205.81, 245,931.41 and 97,640.33 is: 134,747.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    178,205.81 : 245,931.41 = 97,640.33 : x
  2. Step 2: Convert to fraction form
    178,205.81/245,931.41 = 97,640.33/x
  3. Step 3: Cross multiply
    178,205.81x = 245,931.41 × 97,640.33
  4. Step 4: Simplify right side
    178,205.81x = 24,012,823,541.56
  5. Step 5: Solve for x
    x = 24,012,823,541.56/178,205.81
  6. Step 6: Final answer
    x = 134,747.70

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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.