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Finding the Fourth Proportional to 102,045.56, 140,824.56 and 56,107.14

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Solution

The fourth proportional to 102,045.56, 140,824.56 and 56,107.14 is: 77,428.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,045.56 : 140,824.56 = 56,107.14 : x
  2. Step 2: Convert to fraction form
    102,045.56/140,824.56 = 56,107.14/x
  3. Step 3: Cross multiply
    102,045.56x = 140,824.56 × 56,107.14
  4. Step 4: Simplify right side
    102,045.56x = 7,901,262,670.07
  5. Step 5: Solve for x
    x = 7,901,262,670.07/102,045.56
  6. Step 6: Final answer
    x = 77,428.78

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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.