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Finding the Fourth Proportional to 76,159.30, 114,150.63 and 45,020.74

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Solution

The fourth proportional to 76,159.30, 114,150.63 and 45,020.74 is: 67,478.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,159.30 : 114,150.63 = 45,020.74 : x
  2. Step 2: Convert to fraction form
    76,159.30/114,150.63 = 45,020.74/x
  3. Step 3: Cross multiply
    76,159.30x = 114,150.63 × 45,020.74
  4. Step 4: Simplify right side
    76,159.30x = 5,139,145,834.07
  5. Step 5: Solve for x
    x = 5,139,145,834.07/76,159.30
  6. Step 6: Final answer
    x = 67,478.90

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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.