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Finding the Fourth Proportional to 109,931.80, 164,703.30 and 93,213.40

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Solution

The fourth proportional to 109,931.80, 164,703.30 and 93,213.40 is: 139,655.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,931.80 : 164,703.30 = 93,213.40 : x
  2. Step 2: Convert to fraction form
    109,931.80/164,703.30 = 93,213.40/x
  3. Step 3: Cross multiply
    109,931.80x = 164,703.30 × 93,213.40
  4. Step 4: Simplify right side
    109,931.80x = 15,352,554,584.22
  5. Step 5: Solve for x
    x = 15,352,554,584.22/109,931.80
  6. Step 6: Final answer
    x = 139,655.26

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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.