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Finding the Fourth Proportional to 103,301.60, 154,952.40 and 97,080.80

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Solution

The fourth proportional to 103,301.60, 154,952.40 and 97,080.80 is: 145,621.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,301.60 : 154,952.40 = 97,080.80 : x
  2. Step 2: Convert to fraction form
    103,301.60/154,952.40 = 97,080.80/x
  3. Step 3: Cross multiply
    103,301.60x = 154,952.40 × 97,080.80
  4. Step 4: Simplify right side
    103,301.60x = 15,042,902,953.92
  5. Step 5: Solve for x
    x = 15,042,902,953.92/103,301.60
  6. Step 6: Final answer
    x = 145,621.20

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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.