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Finding the Fourth Proportional to 129,597.88, 178,878.45 and 84,388.72

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Solution

The fourth proportional to 129,597.88, 178,878.45 and 84,388.72 is: 116,478.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,597.88 : 178,878.45 = 84,388.72 : x
  2. Step 2: Convert to fraction form
    129,597.88/178,878.45 = 84,388.72/x
  3. Step 3: Cross multiply
    129,597.88x = 178,878.45 × 84,388.72
  4. Step 4: Simplify right side
    129,597.88x = 15,095,323,431.08
  5. Step 5: Solve for x
    x = 15,095,323,431.08/129,597.88
  6. Step 6: Final answer
    x = 116,478.17

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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.