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Finding the Fourth Proportional to 42,904.40, 64,259.40 and 25,408.40

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Solution

The fourth proportional to 42,904.40, 64,259.40 and 25,408.40 is: 38,055.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,904.40 : 64,259.40 = 25,408.40 : x
  2. Step 2: Convert to fraction form
    42,904.40/64,259.40 = 25,408.40/x
  3. Step 3: Cross multiply
    42,904.40x = 64,259.40 × 25,408.40
  4. Step 4: Simplify right side
    42,904.40x = 1,632,728,538.96
  5. Step 5: Solve for x
    x = 1,632,728,538.96/42,904.40
  6. Step 6: Final answer
    x = 38,055.04

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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.