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Finding the Fourth Proportional to 102,097.94, 140,882.91 and 56,764.54

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Solution

The fourth proportional to 102,097.94, 140,882.91 and 56,764.54 is: 78,328.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,097.94 : 140,882.91 = 56,764.54 : x
  2. Step 2: Convert to fraction form
    102,097.94/140,882.91 = 56,764.54/x
  3. Step 3: Cross multiply
    102,097.94x = 140,882.91 × 56,764.54
  4. Step 4: Simplify right side
    102,097.94x = 7,997,153,580.01
  5. Step 5: Solve for x
    x = 7,997,153,580.01/102,097.94
  6. Step 6: Final answer
    x = 78,328.26

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1.5x scale

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.