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Finding the Fourth Proportional to 50,386, 69,532.68 and 28,030

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Solution

The fourth proportional to 50,386, 69,532.68 and 28,030 is: 38,681.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,386 : 69,532.68 = 28,030 : x
  2. Step 2: Convert to fraction form
    50,386/69,532.68 = 28,030/x
  3. Step 3: Cross multiply
    50,386x = 69,532.68 × 28,030
  4. Step 4: Simplify right side
    50,386x = 1,949,001,020.40
  5. Step 5: Solve for x
    x = 1,949,001,020.40/50,386
  6. Step 6: Final answer
    x = 38,681.40

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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.