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Finding the Fourth Proportional to 102,315.69, 141,260.31 and 75,411.32

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Solution

The fourth proportional to 102,315.69, 141,260.31 and 75,411.32 is: 104,115.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,315.69 : 141,260.31 = 75,411.32 : x
  2. Step 2: Convert to fraction form
    102,315.69/141,260.31 = 75,411.32/x
  3. Step 3: Cross multiply
    102,315.69x = 141,260.31 × 75,411.32
  4. Step 4: Simplify right side
    102,315.69x = 10,652,625,734.41
  5. Step 5: Solve for x
    x = 10,652,625,734.41/102,315.69
  6. Step 6: Final answer
    x = 104,115.27

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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.