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Finding the Fourth Proportional to 73,742.40, 110,613.60 and 42,152.40

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Solution

The fourth proportional to 73,742.40, 110,613.60 and 42,152.40 is: 63,228.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,742.40 : 110,613.60 = 42,152.40 : x
  2. Step 2: Convert to fraction form
    73,742.40/110,613.60 = 42,152.40/x
  3. Step 3: Cross multiply
    73,742.40x = 110,613.60 × 42,152.40
  4. Step 4: Simplify right side
    73,742.40x = 4,662,628,712.64
  5. Step 5: Solve for x
    x = 4,662,628,712.64/73,742.40
  6. Step 6: Final answer
    x = 63,228.60

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.