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Finding the Fourth Proportional to 137,697.12, 190,023.84 and 77,280.84

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Solution

The fourth proportional to 137,697.12, 190,023.84 and 77,280.84 is: 106,648.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,697.12 : 190,023.84 = 77,280.84 : x
  2. Step 2: Convert to fraction form
    137,697.12/190,023.84 = 77,280.84/x
  3. Step 3: Cross multiply
    137,697.12x = 190,023.84 × 77,280.84
  4. Step 4: Simplify right side
    137,697.12x = 14,685,201,975.23
  5. Step 5: Solve for x
    x = 14,685,201,975.23/137,697.12
  6. Step 6: Final answer
    x = 106,648.58

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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.