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Finding the Fourth Proportional to 193,031.60, 289,551.60 and 135,871.92

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Solution

The fourth proportional to 193,031.60, 289,551.60 and 135,871.92 is: 203,810.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    193,031.60 : 289,551.60 = 135,871.92 : x
  2. Step 2: Convert to fraction form
    193,031.60/289,551.60 = 135,871.92/x
  3. Step 3: Cross multiply
    193,031.60x = 289,551.60 × 135,871.92
  4. Step 4: Simplify right side
    193,031.60x = 39,341,931,831.07
  5. Step 5: Solve for x
    x = 39,341,931,831.07/193,031.60
  6. Step 6: Final answer
    x = 203,810.84

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.