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Finding the Fourth Proportional to 65,038.74, 89,767.94 and 39,539.70

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Solution

The fourth proportional to 65,038.74, 89,767.94 and 39,539.70 is: 54,573.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,038.74 : 89,767.94 = 39,539.70 : x
  2. Step 2: Convert to fraction form
    65,038.74/89,767.94 = 39,539.70/x
  3. Step 3: Cross multiply
    65,038.74x = 89,767.94 × 39,539.70
  4. Step 4: Simplify right side
    65,038.74x = 3,549,397,417.22
  5. Step 5: Solve for x
    x = 3,549,397,417.22/65,038.74
  6. Step 6: Final answer
    x = 54,573.59

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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.