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Finding the Fourth Proportional to 163,854, 226,114.80 and 91,256.40

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Solution

The fourth proportional to 163,854, 226,114.80 and 91,256.40 is: 125,931.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    163,854 : 226,114.80 = 91,256.40 : x
  2. Step 2: Convert to fraction form
    163,854/226,114.80 = 91,256.40/x
  3. Step 3: Cross multiply
    163,854x = 226,114.80 × 91,256.40
  4. Step 4: Simplify right side
    163,854x = 20,634,422,634.72
  5. Step 5: Solve for x
    x = 20,634,422,634.72/163,854
  6. Step 6: Final answer
    x = 125,931.76

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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.