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Finding the Fourth Proportional to 105,031.19, 157,486.29 and 45,838.55

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Solution

The fourth proportional to 105,031.19, 157,486.29 and 45,838.55 is: 68,731.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,031.19 : 157,486.29 = 45,838.55 : x
  2. Step 2: Convert to fraction form
    105,031.19/157,486.29 = 45,838.55/x
  3. Step 3: Cross multiply
    105,031.19x = 157,486.29 × 45,838.55
  4. Step 4: Simplify right side
    105,031.19x = 7,218,942,391.05
  5. Step 5: Solve for x
    x = 7,218,942,391.05/105,031.19
  6. Step 6: Final answer
    x = 68,731.42

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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.