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Finding the Fourth Proportional to 169,569.15, 234,024 and 96,978.78

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Solution

The fourth proportional to 169,569.15, 234,024 and 96,978.78 is: 133,841.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    169,569.15 : 234,024 = 96,978.78 : x
  2. Step 2: Convert to fraction form
    169,569.15/234,024 = 96,978.78/x
  3. Step 3: Cross multiply
    169,569.15x = 234,024 × 96,978.78
  4. Step 4: Simplify right side
    169,569.15x = 22,695,362,010.72
  5. Step 5: Solve for x
    x = 22,695,362,010.72/169,569.15
  6. Step 6: Final answer
    x = 133,841.34

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1.5x scale

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.