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Finding the Fourth Proportional to 102,351.70, 141,253.47 and 56,419.51

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Solution

The fourth proportional to 102,351.70, 141,253.47 and 56,419.51 is: 77,863.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,351.70 : 141,253.47 = 56,419.51 : x
  2. Step 2: Convert to fraction form
    102,351.70/141,253.47 = 56,419.51/x
  3. Step 3: Cross multiply
    102,351.70x = 141,253.47 × 56,419.51
  4. Step 4: Simplify right side
    102,351.70x = 7,969,451,872.19
  5. Step 5: Solve for x
    x = 7,969,451,872.19/102,351.70
  6. Step 6: Final answer
    x = 77,863.40

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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.