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Finding the Fourth Proportional to 104,333.32, 143,957.82 and 61,905.64

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Solution

The fourth proportional to 104,333.32, 143,957.82 and 61,905.64 is: 85,416.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    104,333.32 : 143,957.82 = 61,905.64 : x
  2. Step 2: Convert to fraction form
    104,333.32/143,957.82 = 61,905.64/x
  3. Step 3: Cross multiply
    104,333.32x = 143,957.82 × 61,905.64
  4. Step 4: Simplify right side
    104,333.32x = 8,911,800,980.10
  5. Step 5: Solve for x
    x = 8,911,800,980.10/104,333.32
  6. Step 6: Final answer
    x = 85,416.63

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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.