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Finding the Fourth Proportional to 341,803.86, 512,707.05 and 105,144.90

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Solution

The fourth proportional to 341,803.86, 512,707.05 and 105,144.90 is: 157,717.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    341,803.86 : 512,707.05 = 105,144.90 : x
  2. Step 2: Convert to fraction form
    341,803.86/512,707.05 = 105,144.90/x
  3. Step 3: Cross multiply
    341,803.86x = 512,707.05 × 105,144.90
  4. Step 4: Simplify right side
    341,803.86x = 53,908,531,501.55
  5. Step 5: Solve for x
    x = 53,908,531,501.55/341,803.86
  6. Step 6: Final answer
    x = 157,717.74

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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.