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Finding the Fourth Proportional to 239,744.16, 359,602.10 and 89,971.78

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Solution

The fourth proportional to 239,744.16, 359,602.10 and 89,971.78 is: 134,952.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    239,744.16 : 359,602.10 = 89,971.78 : x
  2. Step 2: Convert to fraction form
    239,744.16/359,602.10 = 89,971.78/x
  3. Step 3: Cross multiply
    239,744.16x = 359,602.10 × 89,971.78
  4. Step 4: Simplify right side
    239,744.16x = 32,354,041,028.74
  5. Step 5: Solve for x
    x = 32,354,041,028.74/239,744.16
  6. Step 6: Final answer
    x = 134,952.36

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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.