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Finding the Fourth Proportional to 145,911.24, 201,357.63 and 78,843.24

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Solution

The fourth proportional to 145,911.24, 201,357.63 and 78,843.24 is: 108,803.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,911.24 : 201,357.63 = 78,843.24 : x
  2. Step 2: Convert to fraction form
    145,911.24/201,357.63 = 78,843.24/x
  3. Step 3: Cross multiply
    145,911.24x = 201,357.63 × 78,843.24
  4. Step 4: Simplify right side
    145,911.24x = 15,875,687,947.92
  5. Step 5: Solve for x
    x = 15,875,687,947.92/145,911.24
  6. Step 6: Final answer
    x = 108,803.74

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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.