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Finding the Fourth Proportional to 105,095.53, 145,031.84 and 74,933.40

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Solution

The fourth proportional to 105,095.53, 145,031.84 and 74,933.40 is: 103,408.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,095.53 : 145,031.84 = 74,933.40 : x
  2. Step 2: Convert to fraction form
    105,095.53/145,031.84 = 74,933.40/x
  3. Step 3: Cross multiply
    105,095.53x = 145,031.84 × 74,933.40
  4. Step 4: Simplify right side
    105,095.53x = 10,867,728,879.46
  5. Step 5: Solve for x
    x = 10,867,728,879.46/105,095.53
  6. Step 6: Final answer
    x = 103,408.10

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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.