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Finding the Fourth Proportional to 185,298.93, 255,712.50 and 100,416

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Solution

The fourth proportional to 185,298.93, 255,712.50 and 100,416 is: 138,574.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    185,298.93 : 255,712.50 = 100,416 : x
  2. Step 2: Convert to fraction form
    185,298.93/255,712.50 = 100,416/x
  3. Step 3: Cross multiply
    185,298.93x = 255,712.50 × 100,416
  4. Step 4: Simplify right side
    185,298.93x = 25,677,626,400
  5. Step 5: Solve for x
    x = 25,677,626,400/185,298.93
  6. Step 6: Final answer
    x = 138,574.07

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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.