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Finding the Fourth Proportional to 56,387.70, 77,823.32 and 32,509.71

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Solution

The fourth proportional to 56,387.70, 77,823.32 and 32,509.71 is: 44,868.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,387.70 : 77,823.32 = 32,509.71 : x
  2. Step 2: Convert to fraction form
    56,387.70/77,823.32 = 32,509.71/x
  3. Step 3: Cross multiply
    56,387.70x = 77,823.32 × 32,509.71
  4. Step 4: Simplify right side
    56,387.70x = 2,530,013,401.89
  5. Step 5: Solve for x
    x = 2,530,013,401.89/56,387.70
  6. Step 6: Final answer
    x = 44,868.18

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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.