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Finding the Fourth Proportional to 93,792, 140,688 and 28,128

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Solution

The fourth proportional to 93,792, 140,688 and 28,128 is: 42,192

Step by Step Solution

  1. Step 1: Write the proportion equation
    93,792 : 140,688 = 28,128 : x
  2. Step 2: Convert to fraction form
    93,792/140,688 = 28,128/x
  3. Step 3: Cross multiply
    93,792x = 140,688 × 28,128
  4. Step 4: Simplify right side
    93,792x = 3,957,272,064
  5. Step 5: Solve for x
    x = 3,957,272,064/93,792
  6. Step 6: Final answer
    x = 42,192

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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.