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Finding the Fourth Proportional to 105,746.49, 145,939.32 and 58,009.14

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Solution

The fourth proportional to 105,746.49, 145,939.32 and 58,009.14 is: 80,057.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,746.49 : 145,939.32 = 58,009.14 : x
  2. Step 2: Convert to fraction form
    105,746.49/145,939.32 = 58,009.14/x
  3. Step 3: Cross multiply
    105,746.49x = 145,939.32 × 58,009.14
  4. Step 4: Simplify right side
    105,746.49x = 8,465,814,445.38
  5. Step 5: Solve for x
    x = 8,465,814,445.38/105,746.49
  6. Step 6: Final answer
    x = 80,057.64

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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.