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Finding the Fourth Proportional to 209,959.36, 314,666.88 and 85,232.32

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Solution

The fourth proportional to 209,959.36, 314,666.88 and 85,232.32 is: 127,738.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,959.36 : 314,666.88 = 85,232.32 : x
  2. Step 2: Convert to fraction form
    209,959.36/314,666.88 = 85,232.32/x
  3. Step 3: Cross multiply
    209,959.36x = 314,666.88 × 85,232.32
  4. Step 4: Simplify right side
    209,959.36x = 26,819,788,209.56
  5. Step 5: Solve for x
    x = 26,819,788,209.56/209,959.36
  6. Step 6: Final answer
    x = 127,738.00

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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.