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Finding the Fourth Proportional to 185,871.54, 278,931.86 and 119,358.36

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Solution

The fourth proportional to 185,871.54, 278,931.86 and 119,358.36 is: 179,117.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    185,871.54 : 278,931.86 = 119,358.36 : x
  2. Step 2: Convert to fraction form
    185,871.54/278,931.86 = 119,358.36/x
  3. Step 3: Cross multiply
    185,871.54x = 278,931.86 × 119,358.36
  4. Step 4: Simplify right side
    185,871.54x = 33,292,849,361.35
  5. Step 5: Solve for x
    x = 33,292,849,361.35/185,871.54
  6. Step 6: Final answer
    x = 179,117.52

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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.