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Finding the Fourth Proportional to 117,645.60, 176,468.40 and 105,981.60

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Solution

The fourth proportional to 117,645.60, 176,468.40 and 105,981.60 is: 158,972.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,645.60 : 176,468.40 = 105,981.60 : x
  2. Step 2: Convert to fraction form
    117,645.60/176,468.40 = 105,981.60/x
  3. Step 3: Cross multiply
    117,645.60x = 176,468.40 × 105,981.60
  4. Step 4: Simplify right side
    117,645.60x = 18,702,403,381.44
  5. Step 5: Solve for x
    x = 18,702,403,381.44/117,645.60
  6. Step 6: Final answer
    x = 158,972.40

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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.