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Finding the Fourth Proportional to 103,284, 142,531.92 and 58,572

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Solution

The fourth proportional to 103,284, 142,531.92 and 58,572 is: 80,829.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,284 : 142,531.92 = 58,572 : x
  2. Step 2: Convert to fraction form
    103,284/142,531.92 = 58,572/x
  3. Step 3: Cross multiply
    103,284x = 142,531.92 × 58,572
  4. Step 4: Simplify right side
    103,284x = 8,348,379,618.24
  5. Step 5: Solve for x
    x = 8,348,379,618.24/103,284
  6. Step 6: Final answer
    x = 80,829.36

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.