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Finding the Fourth Proportional to 201,802.64, 278,487.72 and 116,968.88

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Solution

The fourth proportional to 201,802.64, 278,487.72 and 116,968.88 is: 161,417.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,802.64 : 278,487.72 = 116,968.88 : x
  2. Step 2: Convert to fraction form
    201,802.64/278,487.72 = 116,968.88/x
  3. Step 3: Cross multiply
    201,802.64x = 278,487.72 × 116,968.88
  4. Step 4: Simplify right side
    201,802.64x = 32,574,396,702.15
  5. Step 5: Solve for x
    x = 32,574,396,702.15/201,802.64
  6. Step 6: Final answer
    x = 161,417.10

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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.