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Finding the Fourth Proportional to 159,575.04, 219,978.18 and 102,207.60

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Solution

The fourth proportional to 159,575.04, 219,978.18 and 102,207.60 is: 140,895.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    159,575.04 : 219,978.18 = 102,207.60 : x
  2. Step 2: Convert to fraction form
    159,575.04/219,978.18 = 102,207.60/x
  3. Step 3: Cross multiply
    159,575.04x = 219,978.18 × 102,207.60
  4. Step 4: Simplify right side
    159,575.04x = 22,483,441,830.17
  5. Step 5: Solve for x
    x = 22,483,441,830.17/159,575.04
  6. Step 6: Final answer
    x = 140,895.73

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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.