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Finding the Fourth Proportional to 153,309.80, 229,964.70 and 139,531.70

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Solution

The fourth proportional to 153,309.80, 229,964.70 and 139,531.70 is: 209,297.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,309.80 : 229,964.70 = 139,531.70 : x
  2. Step 2: Convert to fraction form
    153,309.80/229,964.70 = 139,531.70/x
  3. Step 3: Cross multiply
    153,309.80x = 229,964.70 × 139,531.70
  4. Step 4: Simplify right side
    153,309.80x = 32,087,365,530.99
  5. Step 5: Solve for x
    x = 32,087,365,530.99/153,309.80
  6. Step 6: Final answer
    x = 209,297.55

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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.