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Finding the Fourth Proportional to 120,127.80, 165,784.95 and 66,411.77

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Solution

The fourth proportional to 120,127.80, 165,784.95 and 66,411.77 is: 91,652.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,127.80 : 165,784.95 = 66,411.77 : x
  2. Step 2: Convert to fraction form
    120,127.80/165,784.95 = 66,411.77/x
  3. Step 3: Cross multiply
    120,127.80x = 165,784.95 × 66,411.77
  4. Step 4: Simplify right side
    120,127.80x = 11,010,072,383.32
  5. Step 5: Solve for x
    x = 11,010,072,383.32/120,127.80
  6. Step 6: Final answer
    x = 91,652.99

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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.