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Finding the Fourth Proportional to 137,109.68, 189,220.92 and 76,700.24

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Solution

The fourth proportional to 137,109.68, 189,220.92 and 76,700.24 is: 105,851.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,109.68 : 189,220.92 = 76,700.24 : x
  2. Step 2: Convert to fraction form
    137,109.68/189,220.92 = 76,700.24/x
  3. Step 3: Cross multiply
    137,109.68x = 189,220.92 × 76,700.24
  4. Step 4: Simplify right side
    137,109.68x = 14,513,289,977.02
  5. Step 5: Solve for x
    x = 14,513,289,977.02/137,109.68
  6. Step 6: Final answer
    x = 105,851.68

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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.