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Finding the Fourth Proportional to 65,782.89, 90,779.18 and 40,285.20

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Solution

The fourth proportional to 65,782.89, 90,779.18 and 40,285.20 is: 55,592.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,782.89 : 90,779.18 = 40,285.20 : x
  2. Step 2: Convert to fraction form
    65,782.89/90,779.18 = 40,285.20/x
  3. Step 3: Cross multiply
    65,782.89x = 90,779.18 × 40,285.20
  4. Step 4: Simplify right side
    65,782.89x = 3,657,057,220.71
  5. Step 5: Solve for x
    x = 3,657,057,220.71/65,782.89
  6. Step 6: Final answer
    x = 55,592.83

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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.