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Finding the Fourth Proportional to 117,429.78, 175,809.06 and 77,908.26

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Solution

The fourth proportional to 117,429.78, 175,809.06 and 77,908.26 is: 116,639.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,429.78 : 175,809.06 = 77,908.26 : x
  2. Step 2: Convert to fraction form
    117,429.78/175,809.06 = 77,908.26/x
  3. Step 3: Cross multiply
    117,429.78x = 175,809.06 × 77,908.26
  4. Step 4: Simplify right side
    117,429.78x = 13,696,977,956.84
  5. Step 5: Solve for x
    x = 13,696,977,956.84/117,429.78
  6. Step 6: Final answer
    x = 116,639.73

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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.