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Finding the Fourth Proportional to 205,272, 307,925.28 and 57,528

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Solution

The fourth proportional to 205,272, 307,925.28 and 57,528 is: 86,296.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,272 : 307,925.28 = 57,528 : x
  2. Step 2: Convert to fraction form
    205,272/307,925.28 = 57,528/x
  3. Step 3: Cross multiply
    205,272x = 307,925.28 × 57,528
  4. Step 4: Simplify right side
    205,272x = 17,714,325,507.84
  5. Step 5: Solve for x
    x = 17,714,325,507.84/205,272
  6. Step 6: Final answer
    x = 86,296.84

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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.