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Finding the Fourth Proportional to 114,894, 158,544 and 64,589.76

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Solution

The fourth proportional to 114,894, 158,544 and 64,589.76 is: 89,128.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,894 : 158,544 = 64,589.76 : x
  2. Step 2: Convert to fraction form
    114,894/158,544 = 64,589.76/x
  3. Step 3: Cross multiply
    114,894x = 158,544 × 64,589.76
  4. Step 4: Simplify right side
    114,894x = 10,240,318,909.44
  5. Step 5: Solve for x
    x = 10,240,318,909.44/114,894
  6. Step 6: Final answer
    x = 89,128.40

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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.