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Finding the Fourth Proportional to 175,640, 242,317.04 and 115,243.98

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Solution

The fourth proportional to 175,640, 242,317.04 and 115,243.98 is: 158,993.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    175,640 : 242,317.04 = 115,243.98 : x
  2. Step 2: Convert to fraction form
    175,640/242,317.04 = 115,243.98/x
  3. Step 3: Cross multiply
    175,640x = 242,317.04 × 115,243.98
  4. Step 4: Simplify right side
    175,640x = 27,925,580,111.42
  5. Step 5: Solve for x
    x = 27,925,580,111.42/175,640
  6. Step 6: Final answer
    x = 158,993.28

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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.