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Finding the Fourth Proportional to 103,670.57, 155,498.47 and 40,478.86

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Solution

The fourth proportional to 103,670.57, 155,498.47 and 40,478.86 is: 60,715.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,670.57 : 155,498.47 = 40,478.86 : x
  2. Step 2: Convert to fraction form
    103,670.57/155,498.47 = 40,478.86/x
  3. Step 3: Cross multiply
    103,670.57x = 155,498.47 × 40,478.86
  4. Step 4: Simplify right side
    103,670.57x = 6,294,400,797.34
  5. Step 5: Solve for x
    x = 6,294,400,797.34/103,670.57
  6. Step 6: Final answer
    x = 60,715.41

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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.