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Finding the Fourth Proportional to 209,931.80, 314,897.70 and 85,362.20

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Solution

The fourth proportional to 209,931.80, 314,897.70 and 85,362.20 is: 128,043.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,931.80 : 314,897.70 = 85,362.20 : x
  2. Step 2: Convert to fraction form
    209,931.80/314,897.70 = 85,362.20/x
  3. Step 3: Cross multiply
    209,931.80x = 314,897.70 × 85,362.20
  4. Step 4: Simplify right side
    209,931.80x = 26,880,360,446.94
  5. Step 5: Solve for x
    x = 26,880,360,446.94/209,931.80
  6. Step 6: Final answer
    x = 128,043.30

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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.