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Finding the Fourth Proportional to 101,776, 140,450.94 and 56,452.48

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Solution

The fourth proportional to 101,776, 140,450.94 and 56,452.48 is: 77,904.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,776 : 140,450.94 = 56,452.48 : x
  2. Step 2: Convert to fraction form
    101,776/140,450.94 = 56,452.48/x
  3. Step 3: Cross multiply
    101,776x = 140,450.94 × 56,452.48
  4. Step 4: Simplify right side
    101,776x = 7,928,803,881.33
  5. Step 5: Solve for x
    x = 7,928,803,881.33/101,776
  6. Step 6: Final answer
    x = 77,904.46

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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.