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Finding the Fourth Proportional to 202,970.79, 280,092.77 and 112,330.56

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Solution

The fourth proportional to 202,970.79, 280,092.77 and 112,330.56 is: 155,012.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,970.79 : 280,092.77 = 112,330.56 : x
  2. Step 2: Convert to fraction form
    202,970.79/280,092.77 = 112,330.56/x
  3. Step 3: Cross multiply
    202,970.79x = 280,092.77 × 112,330.56
  4. Step 4: Simplify right side
    202,970.79x = 31,462,977,144.40
  5. Step 5: Solve for x
    x = 31,462,977,144.40/202,970.79
  6. Step 6: Final answer
    x = 155,012.34

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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.