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Finding the Fourth Proportional to 157,189.26, 216,913.49 and 89,212.51

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Solution

The fourth proportional to 157,189.26, 216,913.49 and 89,212.51 is: 123,108.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,189.26 : 216,913.49 = 89,212.51 : x
  2. Step 2: Convert to fraction form
    157,189.26/216,913.49 = 89,212.51/x
  3. Step 3: Cross multiply
    157,189.26x = 216,913.49 × 89,212.51
  4. Step 4: Simplify right side
    157,189.26x = 19,351,398,167.28
  5. Step 5: Solve for x
    x = 19,351,398,167.28/157,189.26
  6. Step 6: Final answer
    x = 123,108.91

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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.