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Finding the Fourth Proportional to 73,975.48, 102,078.84 and 42,142.48

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Solution

The fourth proportional to 73,975.48, 102,078.84 and 42,142.48 is: 58,152.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,975.48 : 102,078.84 = 42,142.48 : x
  2. Step 2: Convert to fraction form
    73,975.48/102,078.84 = 42,142.48/x
  3. Step 3: Cross multiply
    73,975.48x = 102,078.84 × 42,142.48
  4. Step 4: Simplify right side
    73,975.48x = 4,301,855,473.12
  5. Step 5: Solve for x
    x = 4,301,855,473.12/73,975.48
  6. Step 6: Final answer
    x = 58,152.45

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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.