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Finding the Fourth Proportional to 342,526.85, 513,839.47 and 105,887.98

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Solution

The fourth proportional to 342,526.85, 513,839.47 and 105,887.98 is: 158,847.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    342,526.85 : 513,839.47 = 105,887.98 : x
  2. Step 2: Convert to fraction form
    342,526.85/513,839.47 = 105,887.98/x
  3. Step 3: Cross multiply
    342,526.85x = 513,839.47 × 105,887.98
  4. Step 4: Simplify right side
    342,526.85x = 54,409,423,522.57
  5. Step 5: Solve for x
    x = 54,409,423,522.57/342,526.85
  6. Step 6: Final answer
    x = 158,847.18

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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.