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Finding the Fourth Proportional to 65,315, 90,135.42 and 35,507

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Solution

The fourth proportional to 65,315, 90,135.42 and 35,507 is: 49,000.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,315 : 90,135.42 = 35,507 : x
  2. Step 2: Convert to fraction form
    65,315/90,135.42 = 35,507/x
  3. Step 3: Cross multiply
    65,315x = 90,135.42 × 35,507
  4. Step 4: Simplify right side
    65,315x = 3,200,438,357.94
  5. Step 5: Solve for x
    x = 3,200,438,357.94/65,315
  6. Step 6: Final answer
    x = 49,000.05

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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.