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Finding the Fourth Proportional to 72,948, 109,465.02 and 30,825.36

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Solution

The fourth proportional to 72,948, 109,465.02 and 30,825.36 is: 46,256.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,948 : 109,465.02 = 30,825.36 : x
  2. Step 2: Convert to fraction form
    72,948/109,465.02 = 30,825.36/x
  3. Step 3: Cross multiply
    72,948x = 109,465.02 × 30,825.36
  4. Step 4: Simplify right side
    72,948x = 3,374,298,648.91
  5. Step 5: Solve for x
    x = 3,374,298,648.91/72,948
  6. Step 6: Final answer
    x = 46,256.22

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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.