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Finding the Fourth Proportional to 105,820.77, 145,850.85 and 100,838.06

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Solution

The fourth proportional to 105,820.77, 145,850.85 and 100,838.06 is: 138,983.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,820.77 : 145,850.85 = 100,838.06 : x
  2. Step 2: Convert to fraction form
    105,820.77/145,850.85 = 100,838.06/x
  3. Step 3: Cross multiply
    105,820.77x = 145,850.85 × 100,838.06
  4. Step 4: Simplify right side
    105,820.77x = 14,707,316,034.10
  5. Step 5: Solve for x
    x = 14,707,316,034.10/105,820.77
  6. Step 6: Final answer
    x = 138,983.26

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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.