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Finding the Fourth Proportional to 208,703.76, 286,948.39 and 185,829.36

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Solution

The fourth proportional to 208,703.76, 286,948.39 and 185,829.36 is: 255,498.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,703.76 : 286,948.39 = 185,829.36 : x
  2. Step 2: Convert to fraction form
    208,703.76/286,948.39 = 185,829.36/x
  3. Step 3: Cross multiply
    208,703.76x = 286,948.39 × 185,829.36
  4. Step 4: Simplify right side
    208,703.76x = 53,323,435,666.73
  5. Step 5: Solve for x
    x = 53,323,435,666.73/208,703.76
  6. Step 6: Final answer
    x = 255,498.20

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.