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Finding the Fourth Proportional to 239,490.64, 359,041.14 and 89,647

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Solution

The fourth proportional to 239,490.64, 359,041.14 and 89,647 is: 134,397.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    239,490.64 : 359,041.14 = 89,647 : x
  2. Step 2: Convert to fraction form
    239,490.64/359,041.14 = 89,647/x
  3. Step 3: Cross multiply
    239,490.64x = 359,041.14 × 89,647
  4. Step 4: Simplify right side
    239,490.64x = 32,186,961,077.58
  5. Step 5: Solve for x
    x = 32,186,961,077.58/239,490.64
  6. Step 6: Final answer
    x = 134,397.57

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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.