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Finding the Fourth Proportional to 138,705.59, 191,413.64 and 78,288.90

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Solution

The fourth proportional to 138,705.59, 191,413.64 and 78,288.90 is: 108,038.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,705.59 : 191,413.64 = 78,288.90 : x
  2. Step 2: Convert to fraction form
    138,705.59/191,413.64 = 78,288.90/x
  3. Step 3: Cross multiply
    138,705.59x = 191,413.64 × 78,288.90
  4. Step 4: Simplify right side
    138,705.59x = 14,985,563,516.32
  5. Step 5: Solve for x
    x = 14,985,563,516.32/138,705.59
  6. Step 6: Final answer
    x = 108,038.65

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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.