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Finding the Fourth Proportional to 100,675.83, 138,929.71 and 55,353.77

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Solution

The fourth proportional to 100,675.83, 138,929.71 and 55,353.77 is: 76,386.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,675.83 : 138,929.71 = 55,353.77 : x
  2. Step 2: Convert to fraction form
    100,675.83/138,929.71 = 55,353.77/x
  3. Step 3: Cross multiply
    100,675.83x = 138,929.71 × 55,353.77
  4. Step 4: Simplify right side
    100,675.83x = 7,690,283,213.51
  5. Step 5: Solve for x
    x = 7,690,283,213.51/100,675.83
  6. Step 6: Final answer
    x = 76,386.59

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1.5x scale

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.