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Finding the Fourth Proportional to 115,411.42, 173,178.08 and 81,894.02

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Solution

The fourth proportional to 115,411.42, 173,178.08 and 81,894.02 is: 122,884.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    115,411.42 : 173,178.08 = 81,894.02 : x
  2. Step 2: Convert to fraction form
    115,411.42/173,178.08 = 81,894.02/x
  3. Step 3: Cross multiply
    115,411.42x = 173,178.08 × 81,894.02
  4. Step 4: Simplify right side
    115,411.42x = 14,182,248,816.44
  5. Step 5: Solve for x
    x = 14,182,248,816.44/115,411.42
  6. Step 6: Final answer
    x = 122,884.28

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.