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Finding the Fourth Proportional to 137,157.44, 189,384.64 and 105,275.84

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Solution

The fourth proportional to 137,157.44, 189,384.64 and 105,275.84 is: 145,363.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,157.44 : 189,384.64 = 105,275.84 : x
  2. Step 2: Convert to fraction form
    137,157.44/189,384.64 = 105,275.84/x
  3. Step 3: Cross multiply
    137,157.44x = 189,384.64 × 105,275.84
  4. Step 4: Simplify right side
    137,157.44x = 19,937,627,059.10
  5. Step 5: Solve for x
    x = 19,937,627,059.10/137,157.44
  6. Step 6: Final answer
    x = 145,363.07

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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.