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Finding the Fourth Proportional to 56,978.86, 85,483.07 and 30,302.92

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Solution

The fourth proportional to 56,978.86, 85,483.07 and 30,302.92 is: 45,462.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,978.86 : 85,483.07 = 30,302.92 : x
  2. Step 2: Convert to fraction form
    56,978.86/85,483.07 = 30,302.92/x
  3. Step 3: Cross multiply
    56,978.86x = 85,483.07 × 30,302.92
  4. Step 4: Simplify right side
    56,978.86x = 2,590,386,428.95
  5. Step 5: Solve for x
    x = 2,590,386,428.95/56,978.86
  6. Step 6: Final answer
    x = 45,462.23

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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.