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Finding the Fourth Proportional to 120,756.52, 181,134.78 and 37,657

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Solution

The fourth proportional to 120,756.52, 181,134.78 and 37,657 is: 56,485.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,756.52 : 181,134.78 = 37,657 : x
  2. Step 2: Convert to fraction form
    120,756.52/181,134.78 = 37,657/x
  3. Step 3: Cross multiply
    120,756.52x = 181,134.78 × 37,657
  4. Step 4: Simplify right side
    120,756.52x = 6,820,992,410.46
  5. Step 5: Solve for x
    x = 6,820,992,410.46/120,756.52
  6. Step 6: Final answer
    x = 56,485.50

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.