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Finding the Fourth Proportional to 65,820.80, 98,702.40 and 26,364.80

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Solution

The fourth proportional to 65,820.80, 98,702.40 and 26,364.80 is: 39,535.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,820.80 : 98,702.40 = 26,364.80 : x
  2. Step 2: Convert to fraction form
    65,820.80/98,702.40 = 26,364.80/x
  3. Step 3: Cross multiply
    65,820.80x = 98,702.40 × 26,364.80
  4. Step 4: Simplify right side
    65,820.80x = 2,602,269,035.52
  5. Step 5: Solve for x
    x = 2,602,269,035.52/65,820.80
  6. Step 6: Final answer
    x = 39,535.66

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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.