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Finding the Fourth Proportional to 105,137.52, 145,068.12 and 60,416.88

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Solution

The fourth proportional to 105,137.52, 145,068.12 and 60,416.88 is: 83,362.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,137.52 : 145,068.12 = 60,416.88 : x
  2. Step 2: Convert to fraction form
    105,137.52/145,068.12 = 60,416.88/x
  3. Step 3: Cross multiply
    105,137.52x = 145,068.12 × 60,416.88
  4. Step 4: Simplify right side
    105,137.52x = 8,764,563,197.87
  5. Step 5: Solve for x
    x = 8,764,563,197.87/105,137.52
  6. Step 6: Final answer
    x = 83,362.85

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.