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Finding the Fourth Proportional to 120,800.64, 180,387.40 and 98,657.94

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Solution

The fourth proportional to 120,800.64, 180,387.40 and 98,657.94 is: 147,322.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,800.64 : 180,387.40 = 98,657.94 : x
  2. Step 2: Convert to fraction form
    120,800.64/180,387.40 = 98,657.94/x
  3. Step 3: Cross multiply
    120,800.64x = 180,387.40 × 98,657.94
  4. Step 4: Simplify right side
    120,800.64x = 17,796,649,285.96
  5. Step 5: Solve for x
    x = 17,796,649,285.96/120,800.64
  6. Step 6: Final answer
    x = 147,322.48

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.