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Finding the Fourth Proportional to 188,283.59, 259,831.35 and 103,400.66

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Solution

The fourth proportional to 188,283.59, 259,831.35 and 103,400.66 is: 142,692.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    188,283.59 : 259,831.35 = 103,400.66 : x
  2. Step 2: Convert to fraction form
    188,283.59/259,831.35 = 103,400.66/x
  3. Step 3: Cross multiply
    188,283.59x = 259,831.35 × 103,400.66
  4. Step 4: Simplify right side
    188,283.59x = 26,866,731,779.53
  5. Step 5: Solve for x
    x = 26,866,731,779.53/188,283.59
  6. Step 6: Final answer
    x = 142,692.91

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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.