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Finding the Fourth Proportional to 342,526.35, 513,838.72 and 105,887.48

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Solution

The fourth proportional to 342,526.35, 513,838.72 and 105,887.48 is: 158,846.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    342,526.35 : 513,838.72 = 105,887.48 : x
  2. Step 2: Convert to fraction form
    342,526.35/513,838.72 = 105,887.48/x
  3. Step 3: Cross multiply
    342,526.35x = 513,838.72 × 105,887.48
  4. Step 4: Simplify right side
    342,526.35x = 54,409,087,187.23
  5. Step 5: Solve for x
    x = 54,409,087,187.23/342,526.35
  6. Step 6: Final answer
    x = 158,846.43

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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.