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Finding the Fourth Proportional to 141,802.64, 212,651 and 47,015.44

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Solution

The fourth proportional to 141,802.64, 212,651 and 47,015.44 is: 70,505.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    141,802.64 : 212,651 = 47,015.44 : x
  2. Step 2: Convert to fraction form
    141,802.64/212,651 = 47,015.44/x
  3. Step 3: Cross multiply
    141,802.64x = 212,651 × 47,015.44
  4. Step 4: Simplify right side
    141,802.64x = 9,997,880,331.44
  5. Step 5: Solve for x
    x = 9,997,880,331.44/141,802.64
  6. Step 6: Final answer
    x = 70,505.60

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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.