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Finding the Fourth Proportional to 77,130.98, 106,435.88 and 43,142.58

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Solution

The fourth proportional to 77,130.98, 106,435.88 and 43,142.58 is: 59,534.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,130.98 : 106,435.88 = 43,142.58 : x
  2. Step 2: Convert to fraction form
    77,130.98/106,435.88 = 43,142.58/x
  3. Step 3: Cross multiply
    77,130.98x = 106,435.88 × 43,142.58
  4. Step 4: Simplify right side
    77,130.98x = 4,591,918,467.77
  5. Step 5: Solve for x
    x = 4,591,918,467.77/77,130.98
  6. Step 6: Final answer
    x = 59,534.04

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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.