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Finding the Fourth Proportional to 128,846.50, 177,827.62 and 78,574.66

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Solution

The fourth proportional to 128,846.50, 177,827.62 and 78,574.66 is: 108,444.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    128,846.50 : 177,827.62 = 78,574.66 : x
  2. Step 2: Convert to fraction form
    128,846.50/177,827.62 = 78,574.66/x
  3. Step 3: Cross multiply
    128,846.50x = 177,827.62 × 78,574.66
  4. Step 4: Simplify right side
    128,846.50x = 13,972,744,780.11
  5. Step 5: Solve for x
    x = 13,972,744,780.11/128,846.50
  6. Step 6: Final answer
    x = 108,444.89

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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.