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Finding the Fourth Proportional to 153,216.80, 230,012.40 and 86,703.20

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Solution

The fourth proportional to 153,216.80, 230,012.40 and 86,703.20 is: 130,160.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,216.80 : 230,012.40 = 86,703.20 : x
  2. Step 2: Convert to fraction form
    153,216.80/230,012.40 = 86,703.20/x
  3. Step 3: Cross multiply
    153,216.80x = 230,012.40 × 86,703.20
  4. Step 4: Simplify right side
    153,216.80x = 19,942,811,119.68
  5. Step 5: Solve for x
    x = 19,942,811,119.68/153,216.80
  6. Step 6: Final answer
    x = 130,160.73

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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.