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Finding the Fourth Proportional to 109,398, 150,977.13 and 61,003.20

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Solution

The fourth proportional to 109,398, 150,977.13 and 61,003.20 is: 84,188.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,398 : 150,977.13 = 61,003.20 : x
  2. Step 2: Convert to fraction form
    109,398/150,977.13 = 61,003.20/x
  3. Step 3: Cross multiply
    109,398x = 150,977.13 × 61,003.20
  4. Step 4: Simplify right side
    109,398x = 9,210,088,056.82
  5. Step 5: Solve for x
    x = 9,210,088,056.82/109,398
  6. Step 6: Final answer
    x = 84,188.82

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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.