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Finding the Fourth Proportional to 52,303.32, 78,356.16 and 40,477.32

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Solution

The fourth proportional to 52,303.32, 78,356.16 and 40,477.32 is: 60,639.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,303.32 : 78,356.16 = 40,477.32 : x
  2. Step 2: Convert to fraction form
    52,303.32/78,356.16 = 40,477.32/x
  3. Step 3: Cross multiply
    52,303.32x = 78,356.16 × 40,477.32
  4. Step 4: Simplify right side
    52,303.32x = 3,171,647,362.29
  5. Step 5: Solve for x
    x = 3,171,647,362.29/52,303.32
  6. Step 6: Final answer
    x = 60,639.50

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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.