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Finding the Fourth Proportional to 77,850, 107,433.12 and 44,316

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Solution

The fourth proportional to 77,850, 107,433.12 and 44,316 is: 61,156.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,850 : 107,433.12 = 44,316 : x
  2. Step 2: Convert to fraction form
    77,850/107,433.12 = 44,316/x
  3. Step 3: Cross multiply
    77,850x = 107,433.12 × 44,316
  4. Step 4: Simplify right side
    77,850x = 4,761,006,145.92
  5. Step 5: Solve for x
    x = 4,761,006,145.92/77,850
  6. Step 6: Final answer
    x = 61,156.15

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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.