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Finding the Fourth Proportional to 65,288.60, 97,875.30 and 38,965.40

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Solution

The fourth proportional to 65,288.60, 97,875.30 and 38,965.40 is: 58,413.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,288.60 : 97,875.30 = 38,965.40 : x
  2. Step 2: Convert to fraction form
    65,288.60/97,875.30 = 38,965.40/x
  3. Step 3: Cross multiply
    65,288.60x = 97,875.30 × 38,965.40
  4. Step 4: Simplify right side
    65,288.60x = 3,813,750,214.62
  5. Step 5: Solve for x
    x = 3,813,750,214.62/65,288.60
  6. Step 6: Final answer
    x = 58,413.72

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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.