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Finding the Fourth Proportional to 153,907, 212,480 and 117,321.28

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Solution

The fourth proportional to 153,907, 212,480 and 117,321.28 is: 161,970.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,907 : 212,480 = 117,321.28 : x
  2. Step 2: Convert to fraction form
    153,907/212,480 = 117,321.28/x
  3. Step 3: Cross multiply
    153,907x = 212,480 × 117,321.28
  4. Step 4: Simplify right side
    153,907x = 24,928,425,574.40
  5. Step 5: Solve for x
    x = 24,928,425,574.40/153,907
  6. Step 6: Final answer
    x = 161,970.71

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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.