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Finding the Fourth Proportional to 138,875.66, 208,324.29 and 45,390.86

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Solution

The fourth proportional to 138,875.66, 208,324.29 and 45,390.86 is: 68,089.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,875.66 : 208,324.29 = 45,390.86 : x
  2. Step 2: Convert to fraction form
    138,875.66/208,324.29 = 45,390.86/x
  3. Step 3: Cross multiply
    138,875.66x = 208,324.29 × 45,390.86
  4. Step 4: Simplify right side
    138,875.66x = 9,456,017,413.41
  5. Step 5: Solve for x
    x = 9,456,017,413.41/138,875.66
  6. Step 6: Final answer
    x = 68,089.81

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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.