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Finding the Fourth Proportional to 86,535, 129,802.50 and 24,205.50

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Solution

The fourth proportional to 86,535, 129,802.50 and 24,205.50 is: 36,308.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,535 : 129,802.50 = 24,205.50 : x
  2. Step 2: Convert to fraction form
    86,535/129,802.50 = 24,205.50/x
  3. Step 3: Cross multiply
    86,535x = 129,802.50 × 24,205.50
  4. Step 4: Simplify right side
    86,535x = 3,141,934,413.75
  5. Step 5: Solve for x
    x = 3,141,934,413.75/86,535
  6. Step 6: Final answer
    x = 36,308.25

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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.