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Finding the Fourth Proportional to 117,386.64, 175,974.72 and 42,489.24

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Solution

The fourth proportional to 117,386.64, 175,974.72 and 42,489.24 is: 63,695.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,386.64 : 175,974.72 = 42,489.24 : x
  2. Step 2: Convert to fraction form
    117,386.64/175,974.72 = 42,489.24/x
  3. Step 3: Cross multiply
    117,386.64x = 175,974.72 × 42,489.24
  4. Step 4: Simplify right side
    117,386.64x = 7,477,032,112.01
  5. Step 5: Solve for x
    x = 7,477,032,112.01/117,386.64
  6. Step 6: Final answer
    x = 63,695.77

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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.