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Finding the Fourth Proportional to 211,523.60, 317,400.60 and 86,877.20

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Solution

The fourth proportional to 211,523.60, 317,400.60 and 86,877.20 is: 130,363.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    211,523.60 : 317,400.60 = 86,877.20 : x
  2. Step 2: Convert to fraction form
    211,523.60/317,400.60 = 86,877.20/x
  3. Step 3: Cross multiply
    211,523.60x = 317,400.60 × 86,877.20
  4. Step 4: Simplify right side
    211,523.60x = 27,574,875,406.32
  5. Step 5: Solve for x
    x = 27,574,875,406.32/211,523.60
  6. Step 6: Final answer
    x = 130,363.12

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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.