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Finding the Fourth Proportional to 100,056.79, 138,078.32 and 54,734.76

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Solution

The fourth proportional to 100,056.79, 138,078.32 and 54,734.76 is: 75,533.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,056.79 : 138,078.32 = 54,734.76 : x
  2. Step 2: Convert to fraction form
    100,056.79/138,078.32 = 54,734.76/x
  3. Step 3: Cross multiply
    100,056.79x = 138,078.32 × 54,734.76
  4. Step 4: Simplify right side
    100,056.79x = 7,557,683,706.40
  5. Step 5: Solve for x
    x = 7,557,683,706.40/100,056.79
  6. Step 6: Final answer
    x = 75,533.94

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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.