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Finding the Fourth Proportional to 209,861.60, 314,830.80 and 85,215.20

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Solution

The fourth proportional to 209,861.60, 314,830.80 and 85,215.20 is: 127,838.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,861.60 : 314,830.80 = 85,215.20 : x
  2. Step 2: Convert to fraction form
    209,861.60/314,830.80 = 85,215.20/x
  3. Step 3: Cross multiply
    209,861.60x = 314,830.80 × 85,215.20
  4. Step 4: Simplify right side
    209,861.60x = 26,828,369,588.16
  5. Step 5: Solve for x
    x = 26,828,369,588.16/209,861.60
  6. Step 6: Final answer
    x = 127,838.39

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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.