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Finding the Fourth Proportional to 91,509.61, 137,064.46 and 38,039.48

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Solution

The fourth proportional to 91,509.61, 137,064.46 and 38,039.48 is: 56,976.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    91,509.61 : 137,064.46 = 38,039.48 : x
  2. Step 2: Convert to fraction form
    91,509.61/137,064.46 = 38,039.48/x
  3. Step 3: Cross multiply
    91,509.61x = 137,064.46 × 38,039.48
  4. Step 4: Simplify right side
    91,509.61x = 5,213,860,784.88
  5. Step 5: Solve for x
    x = 5,213,860,784.88/91,509.61
  6. Step 6: Final answer
    x = 56,976.10

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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.