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Finding the Fourth Proportional to 103,460.75, 142,776 and 58,748.75

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Solution

The fourth proportional to 103,460.75, 142,776 and 58,748.75 is: 81,073.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,460.75 : 142,776 = 58,748.75 : x
  2. Step 2: Convert to fraction form
    103,460.75/142,776 = 58,748.75/x
  3. Step 3: Cross multiply
    103,460.75x = 142,776 × 58,748.75
  4. Step 4: Simplify right side
    103,460.75x = 8,387,911,530
  5. Step 5: Solve for x
    x = 8,387,911,530/103,460.75
  6. Step 6: Final answer
    x = 81,073.37

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1.5x scale

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.