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Finding the Fourth Proportional to 206,798.40, 310,219.20 and 57,038.76

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Solution

The fourth proportional to 206,798.40, 310,219.20 and 57,038.76 is: 85,564.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,798.40 : 310,219.20 = 57,038.76 : x
  2. Step 2: Convert to fraction form
    206,798.40/310,219.20 = 57,038.76/x
  3. Step 3: Cross multiply
    206,798.40x = 310,219.20 × 57,038.76
  4. Step 4: Simplify right side
    206,798.40x = 17,694,518,496.19
  5. Step 5: Solve for x
    x = 17,694,518,496.19/206,798.40
  6. Step 6: Final answer
    x = 85,564.10

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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.