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Finding the Fourth Proportional to 109,747, 151,457.34 and 61,999.12

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Solution

The fourth proportional to 109,747, 151,457.34 and 61,999.12 is: 85,562.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,747 : 151,457.34 = 61,999.12 : x
  2. Step 2: Convert to fraction form
    109,747/151,457.34 = 61,999.12/x
  3. Step 3: Cross multiply
    109,747x = 151,457.34 × 61,999.12
  4. Step 4: Simplify right side
    109,747x = 9,390,221,797.54
  5. Step 5: Solve for x
    x = 9,390,221,797.54/109,747
  6. Step 6: Final answer
    x = 85,562.45

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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.