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Finding the Fourth Proportional to 52,886.25, 72,985.19 and 30,530.25

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Solution

The fourth proportional to 52,886.25, 72,985.19 and 30,530.25 is: 42,132.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,886.25 : 72,985.19 = 30,530.25 : x
  2. Step 2: Convert to fraction form
    52,886.25/72,985.19 = 30,530.25/x
  3. Step 3: Cross multiply
    52,886.25x = 72,985.19 × 30,530.25
  4. Step 4: Simplify right side
    52,886.25x = 2,228,255,944.35
  5. Step 5: Solve for x
    x = 2,228,255,944.35/52,886.25
  6. Step 6: Final answer
    x = 42,132.99

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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.