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Finding the Fourth Proportional to 102,420, 153,630.09 and 28,548

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Solution

The fourth proportional to 102,420, 153,630.09 and 28,548 is: 42,822.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,420 : 153,630.09 = 28,548 : x
  2. Step 2: Convert to fraction form
    102,420/153,630.09 = 28,548/x
  3. Step 3: Cross multiply
    102,420x = 153,630.09 × 28,548
  4. Step 4: Simplify right side
    102,420x = 4,385,831,809.32
  5. Step 5: Solve for x
    x = 4,385,831,809.32/102,420
  6. Step 6: Final answer
    x = 42,822.03

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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.