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Finding the Fourth Proportional to 292,086.36, 438,129.63 and 123,562.98

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Solution

The fourth proportional to 292,086.36, 438,129.63 and 123,562.98 is: 185,344.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    292,086.36 : 438,129.63 = 123,562.98 : x
  2. Step 2: Convert to fraction form
    292,086.36/438,129.63 = 123,562.98/x
  3. Step 3: Cross multiply
    292,086.36x = 438,129.63 × 123,562.98
  4. Step 4: Simplify right side
    292,086.36x = 54,136,602,709.10
  5. Step 5: Solve for x
    x = 54,136,602,709.10/292,086.36
  6. Step 6: Final answer
    x = 185,344.51

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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.