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Finding the Fourth Proportional to 50,916, 70,264.32 and 28,560

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Solution

The fourth proportional to 50,916, 70,264.32 and 28,560 is: 39,412.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,916 : 70,264.32 = 28,560 : x
  2. Step 2: Convert to fraction form
    50,916/70,264.32 = 28,560/x
  3. Step 3: Cross multiply
    50,916x = 70,264.32 × 28,560
  4. Step 4: Simplify right side
    50,916x = 2,006,748,979.20
  5. Step 5: Solve for x
    x = 2,006,748,979.20/50,916
  6. Step 6: Final answer
    x = 39,412.93

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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.