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Finding the Fourth Proportional to 85,530.78, 118,036.08 and 47,805

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Solution

The fourth proportional to 85,530.78, 118,036.08 and 47,805 is: 65,972.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,530.78 : 118,036.08 = 47,805 : x
  2. Step 2: Convert to fraction form
    85,530.78/118,036.08 = 47,805/x
  3. Step 3: Cross multiply
    85,530.78x = 118,036.08 × 47,805
  4. Step 4: Simplify right side
    85,530.78x = 5,642,714,804.40
  5. Step 5: Solve for x
    x = 5,642,714,804.40/85,530.78
  6. Step 6: Final answer
    x = 65,972.91

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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.