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Finding the Fourth Proportional to 145,376, 218,064 and 38,760.32

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Solution

The fourth proportional to 145,376, 218,064 and 38,760.32 is: 58,140.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,376 : 218,064 = 38,760.32 : x
  2. Step 2: Convert to fraction form
    145,376/218,064 = 38,760.32/x
  3. Step 3: Cross multiply
    145,376x = 218,064 × 38,760.32
  4. Step 4: Simplify right side
    145,376x = 8,452,230,420.48
  5. Step 5: Solve for x
    x = 8,452,230,420.48/145,376
  6. Step 6: Final answer
    x = 58,140.48

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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.