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Finding the Fourth Proportional to 191,107.60, 286,661.40 and 57,981.40

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Solution

The fourth proportional to 191,107.60, 286,661.40 and 57,981.40 is: 86,972.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    191,107.60 : 286,661.40 = 57,981.40 : x
  2. Step 2: Convert to fraction form
    191,107.60/286,661.40 = 57,981.40/x
  3. Step 3: Cross multiply
    191,107.60x = 286,661.40 × 57,981.40
  4. Step 4: Simplify right side
    191,107.60x = 16,621,029,297.96
  5. Step 5: Solve for x
    x = 16,621,029,297.96/191,107.60
  6. Step 6: Final answer
    x = 86,972.10

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.