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Finding the Fourth Proportional to 102,300, 153,450 and 28,428

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Solution

The fourth proportional to 102,300, 153,450 and 28,428 is: 42,642

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,300 : 153,450 = 28,428 : x
  2. Step 2: Convert to fraction form
    102,300/153,450 = 28,428/x
  3. Step 3: Cross multiply
    102,300x = 153,450 × 28,428
  4. Step 4: Simplify right side
    102,300x = 4,362,276,600
  5. Step 5: Solve for x
    x = 4,362,276,600/102,300
  6. Step 6: Final answer
    x = 42,642

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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.