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Finding the Fourth Proportional to 65,653.52, 90,570.20 and 42,982.48

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Solution

The fourth proportional to 65,653.52, 90,570.20 and 42,982.48 is: 59,295.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,653.52 : 90,570.20 = 42,982.48 : x
  2. Step 2: Convert to fraction form
    65,653.52/90,570.20 = 42,982.48/x
  3. Step 3: Cross multiply
    65,653.52x = 90,570.20 × 42,982.48
  4. Step 4: Simplify right side
    65,653.52x = 3,892,931,810.10
  5. Step 5: Solve for x
    x = 3,892,931,810.10/65,653.52
  6. Step 6: Final answer
    x = 59,295.10

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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.