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Finding the Fourth Proportional to 157,176, 216,924.84 and 100,707.66

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Solution

The fourth proportional to 157,176, 216,924.84 and 100,707.66 is: 138,990.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,176 : 216,924.84 = 100,707.66 : x
  2. Step 2: Convert to fraction form
    157,176/216,924.84 = 100,707.66/x
  3. Step 3: Cross multiply
    157,176x = 216,924.84 × 100,707.66
  4. Step 4: Simplify right side
    157,176x = 21,845,993,032.27
  5. Step 5: Solve for x
    x = 21,845,993,032.27/157,176
  6. Step 6: Final answer
    x = 138,990.64

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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.