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Finding the Fourth Proportional to 207,935.80, 312,011.70 and 97,127.80

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Solution

The fourth proportional to 207,935.80, 312,011.70 and 97,127.80 is: 145,742.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,935.80 : 312,011.70 = 97,127.80 : x
  2. Step 2: Convert to fraction form
    207,935.80/312,011.70 = 97,127.80/x
  3. Step 3: Cross multiply
    207,935.80x = 312,011.70 × 97,127.80
  4. Step 4: Simplify right side
    207,935.80x = 30,305,009,995.26
  5. Step 5: Solve for x
    x = 30,305,009,995.26/207,935.80
  6. Step 6: Final answer
    x = 145,742.15

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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.