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Finding the Fourth Proportional to 103,461.78, 142,777.38 and 58,749.78

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Solution

The fourth proportional to 103,461.78, 142,777.38 and 58,749.78 is: 81,074.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,461.78 : 142,777.38 = 58,749.78 : x
  2. Step 2: Convert to fraction form
    103,461.78/142,777.38 = 58,749.78/x
  3. Step 3: Cross multiply
    103,461.78x = 142,777.38 × 58,749.78
  4. Step 4: Simplify right side
    103,461.78x = 8,388,139,663.98
  5. Step 5: Solve for x
    x = 8,388,139,663.98/103,461.78
  6. Step 6: Final answer
    x = 81,074.77

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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.