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Finding the Fourth Proportional to 157,362.69, 217,160.53 and 85,742.71

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Solution

The fourth proportional to 157,362.69, 217,160.53 and 85,742.71 is: 118,324.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,362.69 : 217,160.53 = 85,742.71 : x
  2. Step 2: Convert to fraction form
    157,362.69/217,160.53 = 85,742.71/x
  3. Step 3: Cross multiply
    157,362.69x = 217,160.53 × 85,742.71
  4. Step 4: Simplify right side
    157,362.69x = 18,619,932,347.24
  5. Step 5: Solve for x
    x = 18,619,932,347.24/157,362.69
  6. Step 6: Final answer
    x = 118,324.95

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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.