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Finding the Fourth Proportional to 137,373.63, 189,478.19 and 85,716.74

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Solution

The fourth proportional to 137,373.63, 189,478.19 and 85,716.74 is: 118,228.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,373.63 : 189,478.19 = 85,716.74 : x
  2. Step 2: Convert to fraction form
    137,373.63/189,478.19 = 85,716.74/x
  3. Step 3: Cross multiply
    137,373.63x = 189,478.19 × 85,716.74
  4. Step 4: Simplify right side
    137,373.63x = 16,241,452,420.82
  5. Step 5: Solve for x
    x = 16,241,452,420.82/137,373.63
  6. Step 6: Final answer
    x = 118,228.31

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1.5x scale

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.