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Finding the Fourth Proportional to 212,329.69, 318,543.74 and 72,088.31

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Solution

The fourth proportional to 212,329.69, 318,543.74 and 72,088.31 is: 108,149.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    212,329.69 : 318,543.74 = 72,088.31 : x
  2. Step 2: Convert to fraction form
    212,329.69/318,543.74 = 72,088.31/x
  3. Step 3: Cross multiply
    212,329.69x = 318,543.74 × 72,088.31
  4. Step 4: Simplify right side
    212,329.69x = 22,963,280,583.93
  5. Step 5: Solve for x
    x = 22,963,280,583.93/212,329.69
  6. Step 6: Final answer
    x = 108,149.18

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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.