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Finding the Fourth Proportional to 50,861, 70,192.50 and 28,509.32

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Solution

The fourth proportional to 50,861, 70,192.50 and 28,509.32 is: 39,345.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,861 : 70,192.50 = 28,509.32 : x
  2. Step 2: Convert to fraction form
    50,861/70,192.50 = 28,509.32/x
  3. Step 3: Cross multiply
    50,861x = 70,192.50 × 28,509.32
  4. Step 4: Simplify right side
    50,861x = 2,001,140,444.10
  5. Step 5: Solve for x
    x = 2,001,140,444.10/50,861
  6. Step 6: Final answer
    x = 39,345.28

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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.