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Finding the Fourth Proportional to 118,951.81, 178,371.21 and 69,047.20

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Solution

The fourth proportional to 118,951.81, 178,371.21 and 69,047.20 is: 103,538.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    118,951.81 : 178,371.21 = 69,047.20 : x
  2. Step 2: Convert to fraction form
    118,951.81/178,371.21 = 69,047.20/x
  3. Step 3: Cross multiply
    118,951.81x = 178,371.21 × 69,047.20
  4. Step 4: Simplify right side
    118,951.81x = 12,316,032,611.11
  5. Step 5: Solve for x
    x = 12,316,032,611.11/118,951.81
  6. Step 6: Final answer
    x = 103,538.00

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.