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Finding the Fourth Proportional to 105,754.32, 145,941.84 and 58,007.28

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Solution

The fourth proportional to 105,754.32, 145,941.84 and 58,007.28 is: 80,050.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,754.32 : 145,941.84 = 58,007.28 : x
  2. Step 2: Convert to fraction form
    105,754.32/145,941.84 = 58,007.28/x
  3. Step 3: Cross multiply
    105,754.32x = 145,941.84 × 58,007.28
  4. Step 4: Simplify right side
    105,754.32x = 8,465,689,176.60
  5. Step 5: Solve for x
    x = 8,465,689,176.60/105,754.32
  6. Step 6: Final answer
    x = 80,050.53

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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.