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Finding the Fourth Proportional to 153,308.80, 229,963.20 and 139,530.70

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Solution

The fourth proportional to 153,308.80, 229,963.20 and 139,530.70 is: 209,296.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,308.80 : 229,963.20 = 139,530.70 : x
  2. Step 2: Convert to fraction form
    153,308.80/229,963.20 = 139,530.70/x
  3. Step 3: Cross multiply
    153,308.80x = 229,963.20 × 139,530.70
  4. Step 4: Simplify right side
    153,308.80x = 32,086,926,270.24
  5. Step 5: Solve for x
    x = 32,086,926,270.24/153,308.80
  6. Step 6: Final answer
    x = 209,296.05

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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.