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Finding the Fourth Proportional to 145,894.14, 201,333.90 and 78,826.14

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Solution

The fourth proportional to 145,894.14, 201,333.90 and 78,826.14 is: 108,780.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,894.14 : 201,333.90 = 78,826.14 : x
  2. Step 2: Convert to fraction form
    145,894.14/201,333.90 = 78,826.14/x
  3. Step 3: Cross multiply
    145,894.14x = 201,333.90 × 78,826.14
  4. Step 4: Simplify right side
    145,894.14x = 15,870,374,188.15
  5. Step 5: Solve for x
    x = 15,870,374,188.15/145,894.14
  6. Step 6: Final answer
    x = 108,780.07

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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.