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Finding the Fourth Proportional to 81,860, 112,966.80 and 46,532

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Solution

The fourth proportional to 81,860, 112,966.80 and 46,532 is: 64,214.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,860 : 112,966.80 = 46,532 : x
  2. Step 2: Convert to fraction form
    81,860/112,966.80 = 46,532/x
  3. Step 3: Cross multiply
    81,860x = 112,966.80 × 46,532
  4. Step 4: Simplify right side
    81,860x = 5,256,571,137.60
  5. Step 5: Solve for x
    x = 5,256,571,137.60/81,860
  6. Step 6: Final answer
    x = 64,214.16

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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.