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Finding the Fourth Proportional to 208,977.92, 288,407.40 and 118,349.92

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Solution

The fourth proportional to 208,977.92, 288,407.40 and 118,349.92 is: 163,333.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,977.92 : 288,407.40 = 118,349.92 : x
  2. Step 2: Convert to fraction form
    208,977.92/288,407.40 = 118,349.92/x
  3. Step 3: Cross multiply
    208,977.92x = 288,407.40 × 118,349.92
  4. Step 4: Simplify right side
    208,977.92x = 34,132,992,717.41
  5. Step 5: Solve for x
    x = 34,132,992,717.41/208,977.92
  6. Step 6: Final answer
    x = 163,333.01

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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.