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Finding the Fourth Proportional to 342,722.24, 513,955.68 and 118,020.16

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Solution

The fourth proportional to 342,722.24, 513,955.68 and 118,020.16 is: 176,986.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    342,722.24 : 513,955.68 = 118,020.16 : x
  2. Step 2: Convert to fraction form
    342,722.24/513,955.68 = 118,020.16/x
  3. Step 3: Cross multiply
    342,722.24x = 513,955.68 × 118,020.16
  4. Step 4: Simplify right side
    342,722.24x = 60,657,131,586.51
  5. Step 5: Solve for x
    x = 60,657,131,586.51/342,722.24
  6. Step 6: Final answer
    x = 176,986.27

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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.