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Finding the Fourth Proportional to 102,096.42, 140,899.14 and 56,774.76

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Solution

The fourth proportional to 102,096.42, 140,899.14 and 56,774.76 is: 78,352.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,096.42 : 140,899.14 = 56,774.76 : x
  2. Step 2: Convert to fraction form
    102,096.42/140,899.14 = 56,774.76/x
  3. Step 3: Cross multiply
    102,096.42x = 140,899.14 × 56,774.76
  4. Step 4: Simplify right side
    102,096.42x = 7,999,514,857.71
  5. Step 5: Solve for x
    x = 7,999,514,857.71/102,096.42
  6. Step 6: Final answer
    x = 78,352.55

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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.