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Finding the Fourth Proportional to 150,726.72, 208,024.10 and 86,209.54

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Solution

The fourth proportional to 150,726.72, 208,024.10 and 86,209.54 is: 118,981.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,726.72 : 208,024.10 = 86,209.54 : x
  2. Step 2: Convert to fraction form
    150,726.72/208,024.10 = 86,209.54/x
  3. Step 3: Cross multiply
    150,726.72x = 208,024.10 × 86,209.54
  4. Step 4: Simplify right side
    150,726.72x = 17,933,661,927.16
  5. Step 5: Solve for x
    x = 17,933,661,927.16/150,726.72
  6. Step 6: Final answer
    x = 118,981.30

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.