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Finding the Fourth Proportional to 103,597.35, 142,983.97 and 64,853.21

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Solution

The fourth proportional to 103,597.35, 142,983.97 and 64,853.21 is: 89,509.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,597.35 : 142,983.97 = 64,853.21 : x
  2. Step 2: Convert to fraction form
    103,597.35/142,983.97 = 64,853.21/x
  3. Step 3: Cross multiply
    103,597.35x = 142,983.97 × 64,853.21
  4. Step 4: Simplify right side
    103,597.35x = 9,272,969,433.04
  5. Step 5: Solve for x
    x = 9,272,969,433.04/103,597.35
  6. Step 6: Final answer
    x = 89,509.72

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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.