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Finding the Fourth Proportional to 209,862.60, 314,832.30 and 85,216.20

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Solution

The fourth proportional to 209,862.60, 314,832.30 and 85,216.20 is: 127,839.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,862.60 : 314,832.30 = 85,216.20 : x
  2. Step 2: Convert to fraction form
    209,862.60/314,832.30 = 85,216.20/x
  3. Step 3: Cross multiply
    209,862.60x = 314,832.30 × 85,216.20
  4. Step 4: Simplify right side
    209,862.60x = 26,828,812,243.26
  5. Step 5: Solve for x
    x = 26,828,812,243.26/209,862.60
  6. Step 6: Final answer
    x = 127,839.89

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1.5x scale

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.