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Finding the Fourth Proportional to 153,604.32, 211,978.45 and 89,936.16

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Solution

The fourth proportional to 153,604.32, 211,978.45 and 89,936.16 is: 124,114.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,604.32 : 211,978.45 = 89,936.16 : x
  2. Step 2: Convert to fraction form
    153,604.32/211,978.45 = 89,936.16/x
  3. Step 3: Cross multiply
    153,604.32x = 211,978.45 × 89,936.16
  4. Step 4: Simplify right side
    153,604.32x = 19,064,527,795.75
  5. Step 5: Solve for x
    x = 19,064,527,795.75/153,604.32
  6. Step 6: Final answer
    x = 124,114.53

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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.