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Finding the Fourth Proportional to 55,052.99, 75,978.45 and 30,858.06

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Solution

The fourth proportional to 55,052.99, 75,978.45 and 30,858.06 is: 42,587.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,052.99 : 75,978.45 = 30,858.06 : x
  2. Step 2: Convert to fraction form
    55,052.99/75,978.45 = 30,858.06/x
  3. Step 3: Cross multiply
    55,052.99x = 75,978.45 × 30,858.06
  4. Step 4: Simplify right side
    55,052.99x = 2,344,547,568.81
  5. Step 5: Solve for x
    x = 2,344,547,568.81/55,052.99
  6. Step 6: Final answer
    x = 42,587.11

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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.