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Finding the Fourth Proportional to 218,717.10, 328,075.65 and 139,920.30

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Solution

The fourth proportional to 218,717.10, 328,075.65 and 139,920.30 is: 209,880.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    218,717.10 : 328,075.65 = 139,920.30 : x
  2. Step 2: Convert to fraction form
    218,717.10/328,075.65 = 139,920.30/x
  3. Step 3: Cross multiply
    218,717.10x = 328,075.65 × 139,920.30
  4. Step 4: Simplify right side
    218,717.10x = 45,904,443,370.70
  5. Step 5: Solve for x
    x = 45,904,443,370.70/218,717.10
  6. Step 6: Final answer
    x = 209,880.45

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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.