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Finding the Fourth Proportional to 109,505.94, 164,258.91 and 42,977.40

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Solution

The fourth proportional to 109,505.94, 164,258.91 and 42,977.40 is: 64,466.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,505.94 : 164,258.91 = 42,977.40 : x
  2. Step 2: Convert to fraction form
    109,505.94/164,258.91 = 42,977.40/x
  3. Step 3: Cross multiply
    109,505.94x = 164,258.91 × 42,977.40
  4. Step 4: Simplify right side
    109,505.94x = 7,059,420,878.63
  5. Step 5: Solve for x
    x = 7,059,420,878.63/109,505.94
  6. Step 6: Final answer
    x = 64,466.10

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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.