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Finding the Fourth Proportional to 65,698.56, 90,677.21 and 42,998.31

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Solution

The fourth proportional to 65,698.56, 90,677.21 and 42,998.31 is: 59,346.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,698.56 : 90,677.21 = 42,998.31 : x
  2. Step 2: Convert to fraction form
    65,698.56/90,677.21 = 42,998.31/x
  3. Step 3: Cross multiply
    65,698.56x = 90,677.21 × 42,998.31
  4. Step 4: Simplify right side
    65,698.56x = 3,898,966,570.52
  5. Step 5: Solve for x
    x = 3,898,966,570.52/65,698.56
  6. Step 6: Final answer
    x = 59,346.30

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1.5x scale

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.