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Finding the Fourth Proportional to 234,528, 351,792 and 103,200

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Solution

The fourth proportional to 234,528, 351,792 and 103,200 is: 154,800

Step by Step Solution

  1. Step 1: Write the proportion equation
    234,528 : 351,792 = 103,200 : x
  2. Step 2: Convert to fraction form
    234,528/351,792 = 103,200/x
  3. Step 3: Cross multiply
    234,528x = 351,792 × 103,200
  4. Step 4: Simplify right side
    234,528x = 36,304,934,400
  5. Step 5: Solve for x
    x = 36,304,934,400/234,528
  6. Step 6: Final answer
    x = 154,800

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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.