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Finding the Fourth Proportional to 51,349.52, 76,946.52 and 38,140.40

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Solution

The fourth proportional to 51,349.52, 76,946.52 and 38,140.40 is: 57,152.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,349.52 : 76,946.52 = 38,140.40 : x
  2. Step 2: Convert to fraction form
    51,349.52/76,946.52 = 38,140.40/x
  3. Step 3: Cross multiply
    51,349.52x = 76,946.52 × 38,140.40
  4. Step 4: Simplify right side
    51,349.52x = 2,934,771,051.41
  5. Step 5: Solve for x
    x = 2,934,771,051.41/51,349.52
  6. Step 6: Final answer
    x = 57,152.84

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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.