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Finding the Fourth Proportional to 129,870.63, 194,825.42 and 45,615.94

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Solution

The fourth proportional to 129,870.63, 194,825.42 and 45,615.94 is: 68,430.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,870.63 : 194,825.42 = 45,615.94 : x
  2. Step 2: Convert to fraction form
    129,870.63/194,825.42 = 45,615.94/x
  3. Step 3: Cross multiply
    129,870.63x = 194,825.42 × 45,615.94
  4. Step 4: Simplify right side
    129,870.63x = 8,887,144,669.19
  5. Step 5: Solve for x
    x = 8,887,144,669.19/129,870.63
  6. Step 6: Final answer
    x = 68,430.75

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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.