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Finding the Fourth Proportional to 102,721.32, 154,108.86 and 43,559.40

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Solution

The fourth proportional to 102,721.32, 154,108.86 and 43,559.40 is: 65,350.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,721.32 : 154,108.86 = 43,559.40 : x
  2. Step 2: Convert to fraction form
    102,721.32/154,108.86 = 43,559.40/x
  3. Step 3: Cross multiply
    102,721.32x = 154,108.86 × 43,559.40
  4. Step 4: Simplify right side
    102,721.32x = 6,712,889,476.28
  5. Step 5: Solve for x
    x = 6,712,889,476.28/102,721.32
  6. Step 6: Final answer
    x = 65,350.50

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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.