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Finding the Fourth Proportional to 105,741, 145,931.94 and 58,003.64

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Solution

The fourth proportional to 105,741, 145,931.94 and 58,003.64 is: 80,050.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,741 : 145,931.94 = 58,003.64 : x
  2. Step 2: Convert to fraction form
    105,741/145,931.94 = 58,003.64/x
  3. Step 3: Cross multiply
    105,741x = 145,931.94 × 58,003.64
  4. Step 4: Simplify right side
    105,741x = 8,464,583,712.26
  5. Step 5: Solve for x
    x = 8,464,583,712.26/105,741
  6. Step 6: Final answer
    x = 80,050.16

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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.