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Finding the Fourth Proportional to 194,852, 268,895.76 and 105,428

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Solution

The fourth proportional to 194,852, 268,895.76 and 105,428 is: 145,490.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,852 : 268,895.76 = 105,428 : x
  2. Step 2: Convert to fraction form
    194,852/268,895.76 = 105,428/x
  3. Step 3: Cross multiply
    194,852x = 268,895.76 × 105,428
  4. Step 4: Simplify right side
    194,852x = 28,349,142,185.28
  5. Step 5: Solve for x
    x = 28,349,142,185.28/194,852
  6. Step 6: Final answer
    x = 145,490.64

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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.