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Finding the Fourth Proportional to 121,871.64, 182,807.10 and 42,966.84

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Solution

The fourth proportional to 121,871.64, 182,807.10 and 42,966.84 is: 64,450.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    121,871.64 : 182,807.10 = 42,966.84 : x
  2. Step 2: Convert to fraction form
    121,871.64/182,807.10 = 42,966.84/x
  3. Step 3: Cross multiply
    121,871.64x = 182,807.10 × 42,966.84
  4. Step 4: Simplify right side
    121,871.64x = 7,854,643,416.56
  5. Step 5: Solve for x
    x = 7,854,643,416.56/121,871.64
  6. Step 6: Final answer
    x = 64,450.13

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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.