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Finding the Fourth Proportional to 262,013.94, 392,873.27 and 91,157.30

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Solution

The fourth proportional to 262,013.94, 392,873.27 and 91,157.30 is: 136,684.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    262,013.94 : 392,873.27 = 91,157.30 : x
  2. Step 2: Convert to fraction form
    262,013.94/392,873.27 = 91,157.30/x
  3. Step 3: Cross multiply
    262,013.94x = 392,873.27 × 91,157.30
  4. Step 4: Simplify right side
    262,013.94x = 35,813,264,457.06
  5. Step 5: Solve for x
    x = 35,813,264,457.06/262,013.94
  6. Step 6: Final answer
    x = 136,684.58

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.