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Finding the Fourth Proportional to 257,695, 355,657.98 and 157,151.32

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Solution

The fourth proportional to 257,695, 355,657.98 and 157,151.32 is: 216,892.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,695 : 355,657.98 = 157,151.32 : x
  2. Step 2: Convert to fraction form
    257,695/355,657.98 = 157,151.32/x
  3. Step 3: Cross multiply
    257,695x = 355,657.98 × 157,151.32
  4. Step 4: Simplify right side
    257,695x = 55,892,121,025.53
  5. Step 5: Solve for x
    x = 55,892,121,025.53/257,695
  6. Step 6: Final answer
    x = 216,892.53

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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.