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Finding the Fourth Proportional to 118,102, 162,980.76 and 75,660.52

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Solution

The fourth proportional to 118,102, 162,980.76 and 75,660.52 is: 104,411.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    118,102 : 162,980.76 = 75,660.52 : x
  2. Step 2: Convert to fraction form
    118,102/162,980.76 = 75,660.52/x
  3. Step 3: Cross multiply
    118,102x = 162,980.76 × 75,660.52
  4. Step 4: Simplify right side
    118,102x = 12,331,209,051.60
  5. Step 5: Solve for x
    x = 12,331,209,051.60/118,102
  6. Step 6: Final answer
    x = 104,411.52

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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.