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Finding the Fourth Proportional to 157,507.56, 217,399.14 and 121,642.92

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Solution

The fourth proportional to 157,507.56, 217,399.14 and 121,642.92 is: 167,897.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,507.56 : 217,399.14 = 121,642.92 : x
  2. Step 2: Convert to fraction form
    157,507.56/217,399.14 = 121,642.92/x
  3. Step 3: Cross multiply
    157,507.56x = 217,399.14 × 121,642.92
  4. Step 4: Simplify right side
    157,507.56x = 26,445,066,195.09
  5. Step 5: Solve for x
    x = 26,445,066,195.09/157,507.56
  6. Step 6: Final answer
    x = 167,897.12

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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.