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Finding the Fourth Proportional to 52,360, 72,256.24 and 31,138.84

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Solution

The fourth proportional to 52,360, 72,256.24 and 31,138.84 is: 42,971.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,360 : 72,256.24 = 31,138.84 : x
  2. Step 2: Convert to fraction form
    52,360/72,256.24 = 31,138.84/x
  3. Step 3: Cross multiply
    52,360x = 72,256.24 × 31,138.84
  4. Step 4: Simplify right side
    52,360x = 2,249,975,496.36
  5. Step 5: Solve for x
    x = 2,249,975,496.36/52,360
  6. Step 6: Final answer
    x = 42,971.27

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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.