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Finding the Fourth Proportional to 203,275.47, 305,192.51 and 103,502.71

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Solution

The fourth proportional to 203,275.47, 305,192.51 and 103,502.71 is: 155,396.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,275.47 : 305,192.51 = 103,502.71 : x
  2. Step 2: Convert to fraction form
    203,275.47/305,192.51 = 103,502.71/x
  3. Step 3: Cross multiply
    203,275.47x = 305,192.51 × 103,502.71
  4. Step 4: Simplify right side
    203,275.47x = 31,588,252,108.81
  5. Step 5: Solve for x
    x = 31,588,252,108.81/203,275.47
  6. Step 6: Final answer
    x = 155,396.28

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.