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Finding the Fourth Proportional to 205,153.32, 307,742.94 and 86,809.08

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Solution

The fourth proportional to 205,153.32, 307,742.94 and 86,809.08 is: 130,219.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,153.32 : 307,742.94 = 86,809.08 : x
  2. Step 2: Convert to fraction form
    205,153.32/307,742.94 = 86,809.08/x
  3. Step 3: Cross multiply
    205,153.32x = 307,742.94 × 86,809.08
  4. Step 4: Simplify right side
    205,153.32x = 26,714,881,497.90
  5. Step 5: Solve for x
    x = 26,714,881,497.90/205,153.32
  6. Step 6: Final answer
    x = 130,219.10

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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.