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Finding the Fourth Proportional to 114,646, 158,211.48 and 64,345

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Solution

The fourth proportional to 114,646, 158,211.48 and 64,345 is: 88,796.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,646 : 158,211.48 = 64,345 : x
  2. Step 2: Convert to fraction form
    114,646/158,211.48 = 64,345/x
  3. Step 3: Cross multiply
    114,646x = 158,211.48 × 64,345
  4. Step 4: Simplify right side
    114,646x = 10,180,117,680.60
  5. Step 5: Solve for x
    x = 10,180,117,680.60/114,646
  6. Step 6: Final answer
    x = 88,796.10

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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.