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Finding the Fourth Proportional to 230,345.80, 345,326.70 and 97,328.20

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Solution

The fourth proportional to 230,345.80, 345,326.70 and 97,328.20 is: 145,911.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    230,345.80 : 345,326.70 = 97,328.20 : x
  2. Step 2: Convert to fraction form
    230,345.80/345,326.70 = 97,328.20/x
  3. Step 3: Cross multiply
    230,345.80x = 345,326.70 × 97,328.20
  4. Step 4: Simplify right side
    230,345.80x = 33,610,026,122.94
  5. Step 5: Solve for x
    x = 33,610,026,122.94/230,345.80
  6. Step 6: Final answer
    x = 145,911.17

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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.