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Finding the Fourth Proportional to 52,278, 72,094.74 and 40,322.40

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Solution

The fourth proportional to 52,278, 72,094.74 and 40,322.40 is: 55,607.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,278 : 72,094.74 = 40,322.40 : x
  2. Step 2: Convert to fraction form
    52,278/72,094.74 = 40,322.40/x
  3. Step 3: Cross multiply
    52,278x = 72,094.74 × 40,322.40
  4. Step 4: Simplify right side
    52,278x = 2,907,032,944.18
  5. Step 5: Solve for x
    x = 2,907,032,944.18/52,278
  6. Step 6: Final answer
    x = 55,607.20

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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.