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Finding the Fourth Proportional to 69,998.92, 96,581.16 and 42,768

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Solution

The fourth proportional to 69,998.92, 96,581.16 and 42,768 is: 59,009.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,998.92 : 96,581.16 = 42,768 : x
  2. Step 2: Convert to fraction form
    69,998.92/96,581.16 = 42,768/x
  3. Step 3: Cross multiply
    69,998.92x = 96,581.16 × 42,768
  4. Step 4: Simplify right side
    69,998.92x = 4,130,583,050.88
  5. Step 5: Solve for x
    x = 4,130,583,050.88/69,998.92
  6. Step 6: Final answer
    x = 59,009.24

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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.