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Finding the Fourth Proportional to 153,238.44, 229,857.70 and 42,430.44

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Solution

The fourth proportional to 153,238.44, 229,857.70 and 42,430.44 is: 63,645.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,238.44 : 229,857.70 = 42,430.44 : x
  2. Step 2: Convert to fraction form
    153,238.44/229,857.70 = 42,430.44/x
  3. Step 3: Cross multiply
    153,238.44x = 229,857.70 × 42,430.44
  4. Step 4: Simplify right side
    153,238.44x = 9,752,963,348.39
  5. Step 5: Solve for x
    x = 9,752,963,348.39/153,238.44
  6. Step 6: Final answer
    x = 63,645.67

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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.