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Finding the Fourth Proportional to 56,146.68, 77,482.26 and 30,996

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Solution

The fourth proportional to 56,146.68, 77,482.26 and 30,996 is: 42,774.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,146.68 : 77,482.26 = 30,996 : x
  2. Step 2: Convert to fraction form
    56,146.68/77,482.26 = 30,996/x
  3. Step 3: Cross multiply
    56,146.68x = 77,482.26 × 30,996
  4. Step 4: Simplify right side
    56,146.68x = 2,401,640,130.96
  5. Step 5: Solve for x
    x = 2,401,640,130.96/56,146.68
  6. Step 6: Final answer
    x = 42,774.39

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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.