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Finding the Fourth Proportional to 201,756.24, 278,424.36 and 112,332.24

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Solution

The fourth proportional to 201,756.24, 278,424.36 and 112,332.24 is: 155,018.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,756.24 : 278,424.36 = 112,332.24 : x
  2. Step 2: Convert to fraction form
    201,756.24/278,424.36 = 112,332.24/x
  3. Step 3: Cross multiply
    201,756.24x = 278,424.36 × 112,332.24
  4. Step 4: Simplify right side
    201,756.24x = 31,276,032,029.37
  5. Step 5: Solve for x
    x = 31,276,032,029.37/201,756.24
  6. Step 6: Final answer
    x = 155,018.91

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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.