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Finding the Fourth Proportional to 114,756, 158,378.13 and 64,455

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Solution

The fourth proportional to 114,756, 158,378.13 and 64,455 is: 88,956.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,756 : 158,378.13 = 64,455 : x
  2. Step 2: Convert to fraction form
    114,756/158,378.13 = 64,455/x
  3. Step 3: Cross multiply
    114,756x = 158,378.13 × 64,455
  4. Step 4: Simplify right side
    114,756x = 10,208,262,369.15
  5. Step 5: Solve for x
    x = 10,208,262,369.15/114,756
  6. Step 6: Final answer
    x = 88,956.24

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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.