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Finding the Fourth Proportional to 253,303.20, 380,030.88 and 75,816

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Solution

The fourth proportional to 253,303.20, 380,030.88 and 75,816 is: 113,746.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    253,303.20 : 380,030.88 = 75,816 : x
  2. Step 2: Convert to fraction form
    253,303.20/380,030.88 = 75,816/x
  3. Step 3: Cross multiply
    253,303.20x = 380,030.88 × 75,816
  4. Step 4: Simplify right side
    253,303.20x = 28,812,421,198.08
  5. Step 5: Solve for x
    x = 28,812,421,198.08/253,303.20
  6. Step 6: Final answer
    x = 113,746.77

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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.