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Finding the Fourth Proportional to 56,742.50, 85,113.75 and 15,189.50

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Solution

The fourth proportional to 56,742.50, 85,113.75 and 15,189.50 is: 22,784.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,742.50 : 85,113.75 = 15,189.50 : x
  2. Step 2: Convert to fraction form
    56,742.50/85,113.75 = 15,189.50/x
  3. Step 3: Cross multiply
    56,742.50x = 85,113.75 × 15,189.50
  4. Step 4: Simplify right side
    56,742.50x = 1,292,835,305.63
  5. Step 5: Solve for x
    x = 1,292,835,305.63/56,742.50
  6. Step 6: Final answer
    x = 22,784.25

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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.