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Finding the Fourth Proportional to 345,871.60, 518,823.60 and 109,232.80

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Solution

The fourth proportional to 345,871.60, 518,823.60 and 109,232.80 is: 163,854.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    345,871.60 : 518,823.60 = 109,232.80 : x
  2. Step 2: Convert to fraction form
    345,871.60/518,823.60 = 109,232.80/x
  3. Step 3: Cross multiply
    345,871.60x = 518,823.60 × 109,232.80
  4. Step 4: Simplify right side
    345,871.60x = 56,672,554,534.08
  5. Step 5: Solve for x
    x = 56,672,554,534.08/345,871.60
  6. Step 6: Final answer
    x = 163,854.32

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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.