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Finding the Fourth Proportional to 157,192, 216,946.92 and 100,723.68

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Solution

The fourth proportional to 157,192, 216,946.92 and 100,723.68 is: 139,012.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,192 : 216,946.92 = 100,723.68 : x
  2. Step 2: Convert to fraction form
    157,192/216,946.92 = 100,723.68/x
  3. Step 3: Cross multiply
    157,192x = 216,946.92 × 100,723.68
  4. Step 4: Simplify right side
    157,192x = 21,851,692,147.07
  5. Step 5: Solve for x
    x = 21,851,692,147.07/157,192
  6. Step 6: Final answer
    x = 139,012.75

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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.