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Finding the Fourth Proportional to 155,280, 232,920 and 38,544

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Solution

The fourth proportional to 155,280, 232,920 and 38,544 is: 57,816

Step by Step Solution

  1. Step 1: Write the proportion equation
    155,280 : 232,920 = 38,544 : x
  2. Step 2: Convert to fraction form
    155,280/232,920 = 38,544/x
  3. Step 3: Cross multiply
    155,280x = 232,920 × 38,544
  4. Step 4: Simplify right side
    155,280x = 8,977,668,480
  5. Step 5: Solve for x
    x = 8,977,668,480/155,280
  6. Step 6: Final answer
    x = 57,816

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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.