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Finding the Fourth Proportional to 137,674.68, 189,984.30 and 78,047.16

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Solution

The fourth proportional to 137,674.68, 189,984.30 and 78,047.16 is: 107,701.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,674.68 : 189,984.30 = 78,047.16 : x
  2. Step 2: Convert to fraction form
    137,674.68/189,984.30 = 78,047.16/x
  3. Step 3: Cross multiply
    137,674.68x = 189,984.30 × 78,047.16
  4. Step 4: Simplify right side
    137,674.68x = 14,827,735,059.59
  5. Step 5: Solve for x
    x = 14,827,735,059.59/137,674.68
  6. Step 6: Final answer
    x = 107,701.25

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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.