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Finding the Fourth Proportional to 120,274.77, 165,981.89 and 77,907.03

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Solution

The fourth proportional to 120,274.77, 165,981.89 and 77,907.03 is: 107,513.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,274.77 : 165,981.89 = 77,907.03 : x
  2. Step 2: Convert to fraction form
    120,274.77/165,981.89 = 77,907.03/x
  3. Step 3: Cross multiply
    120,274.77x = 165,981.89 × 77,907.03
  4. Step 4: Simplify right side
    120,274.77x = 12,931,155,694.15
  5. Step 5: Solve for x
    x = 12,931,155,694.15/120,274.77
  6. Step 6: Final answer
    x = 107,513.45

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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.