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Finding the Fourth Proportional to 57,302.40, 85,901.76 and 20,357.76

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Solution

The fourth proportional to 57,302.40, 85,901.76 and 20,357.76 is: 30,518.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,302.40 : 85,901.76 = 20,357.76 : x
  2. Step 2: Convert to fraction form
    57,302.40/85,901.76 = 20,357.76/x
  3. Step 3: Cross multiply
    57,302.40x = 85,901.76 × 20,357.76
  4. Step 4: Simplify right side
    57,302.40x = 1,748,767,413.66
  5. Step 5: Solve for x
    x = 1,748,767,413.66/57,302.40
  6. Step 6: Final answer
    x = 30,518.22

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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.