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Finding the Fourth Proportional to 140,903.92, 194,444.28 and 77,240.32

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Solution

The fourth proportional to 140,903.92, 194,444.28 and 77,240.32 is: 106,589.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,903.92 : 194,444.28 = 77,240.32 : x
  2. Step 2: Convert to fraction form
    140,903.92/194,444.28 = 77,240.32/x
  3. Step 3: Cross multiply
    140,903.92x = 194,444.28 × 77,240.32
  4. Step 4: Simplify right side
    140,903.92x = 15,018,938,409.37
  5. Step 5: Solve for x
    x = 15,018,938,409.37/140,903.92
  6. Step 6: Final answer
    x = 106,589.93

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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.