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Finding the Fourth Proportional to 85,979.10, 129,005.10 and 54,413.40

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Solution

The fourth proportional to 85,979.10, 129,005.10 and 54,413.40 is: 81,643.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,979.10 : 129,005.10 = 54,413.40 : x
  2. Step 2: Convert to fraction form
    85,979.10/129,005.10 = 54,413.40/x
  3. Step 3: Cross multiply
    85,979.10x = 129,005.10 × 54,413.40
  4. Step 4: Simplify right side
    85,979.10x = 7,019,606,108.34
  5. Step 5: Solve for x
    x = 7,019,606,108.34/85,979.10
  6. Step 6: Final answer
    x = 81,643.17

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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.