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Finding the Fourth Proportional to 205,264.80, 307,378.80 and 134,762.40

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Solution

The fourth proportional to 205,264.80, 307,378.80 and 134,762.40 is: 201,803.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,264.80 : 307,378.80 = 134,762.40 : x
  2. Step 2: Convert to fraction form
    205,264.80/307,378.80 = 134,762.40/x
  3. Step 3: Cross multiply
    205,264.80x = 307,378.80 × 134,762.40
  4. Step 4: Simplify right side
    205,264.80x = 41,423,104,797.12
  5. Step 5: Solve for x
    x = 41,423,104,797.12/205,264.80
  6. Step 6: Final answer
    x = 201,803.26

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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.