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Finding the Fourth Proportional to 71,278.66, 98,361.21 and 42,977.86

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Solution

The fourth proportional to 71,278.66, 98,361.21 and 42,977.86 is: 59,307.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,278.66 : 98,361.21 = 42,977.86 : x
  2. Step 2: Convert to fraction form
    71,278.66/98,361.21 = 42,977.86/x
  3. Step 3: Cross multiply
    71,278.66x = 98,361.21 × 42,977.86
  4. Step 4: Simplify right side
    71,278.66x = 4,227,354,312.81
  5. Step 5: Solve for x
    x = 4,227,354,312.81/71,278.66
  6. Step 6: Final answer
    x = 59,307.43

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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.