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Finding the Fourth Proportional to 116,657.40, 174,986.10 and 72,139.80

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Solution

The fourth proportional to 116,657.40, 174,986.10 and 72,139.80 is: 108,209.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    116,657.40 : 174,986.10 = 72,139.80 : x
  2. Step 2: Convert to fraction form
    116,657.40/174,986.10 = 72,139.80/x
  3. Step 3: Cross multiply
    116,657.40x = 174,986.10 × 72,139.80
  4. Step 4: Simplify right side
    116,657.40x = 12,623,462,256.78
  5. Step 5: Solve for x
    x = 12,623,462,256.78/116,657.40
  6. Step 6: Final answer
    x = 108,209.70

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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.