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Finding the Fourth Proportional to 342,571, 513,905.51 and 105,931.93

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Solution

The fourth proportional to 342,571, 513,905.51 and 105,931.93 is: 158,913.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    342,571 : 513,905.51 = 105,931.93 : x
  2. Step 2: Convert to fraction form
    342,571/513,905.51 = 105,931.93/x
  3. Step 3: Cross multiply
    342,571x = 513,905.51 × 105,931.93
  4. Step 4: Simplify right side
    342,571x = 54,439,001,982.27
  5. Step 5: Solve for x
    x = 54,439,001,982.27/342,571
  6. Step 6: Final answer
    x = 158,913.05

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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.