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Finding the Fourth Proportional to 205,323.63, 307,931.97 and 86,934.03

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Solution

The fourth proportional to 205,323.63, 307,931.97 and 86,934.03 is: 130,378.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,323.63 : 307,931.97 = 86,934.03 : x
  2. Step 2: Convert to fraction form
    205,323.63/307,931.97 = 86,934.03/x
  3. Step 3: Cross multiply
    205,323.63x = 307,931.97 × 86,934.03
  4. Step 4: Simplify right side
    205,323.63x = 26,769,767,117.94
  5. Step 5: Solve for x
    x = 26,769,767,117.94/205,323.63
  6. Step 6: Final answer
    x = 130,378.40

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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.