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Finding the Fourth Proportional to 103,596.35, 142,982.59 and 64,852.21

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Solution

The fourth proportional to 103,596.35, 142,982.59 and 64,852.21 is: 89,508.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,596.35 : 142,982.59 = 64,852.21 : x
  2. Step 2: Convert to fraction form
    103,596.35/142,982.59 = 64,852.21/x
  3. Step 3: Cross multiply
    103,596.35x = 142,982.59 × 64,852.21
  4. Step 4: Simplify right side
    103,596.35x = 9,272,736,712.42
  5. Step 5: Solve for x
    x = 9,272,736,712.42/103,596.35
  6. Step 6: Final answer
    x = 89,508.33

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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.