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Finding the Fourth Proportional to 94,156, 129,946.80 and 54,412

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Solution

The fourth proportional to 94,156, 129,946.80 and 54,412 is: 75,095.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    94,156 : 129,946.80 = 54,412 : x
  2. Step 2: Convert to fraction form
    94,156/129,946.80 = 54,412/x
  3. Step 3: Cross multiply
    94,156x = 129,946.80 × 54,412
  4. Step 4: Simplify right side
    94,156x = 7,070,665,281.60
  5. Step 5: Solve for x
    x = 7,070,665,281.60/94,156
  6. Step 6: Final answer
    x = 75,095.22

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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.