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Finding the Fourth Proportional to 90,528, 124,928.64 and 50,784

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Solution

The fourth proportional to 90,528, 124,928.64 and 50,784 is: 70,081.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    90,528 : 124,928.64 = 50,784 : x
  2. Step 2: Convert to fraction form
    90,528/124,928.64 = 50,784/x
  3. Step 3: Cross multiply
    90,528x = 124,928.64 × 50,784
  4. Step 4: Simplify right side
    90,528x = 6,344,376,053.76
  5. Step 5: Solve for x
    x = 6,344,376,053.76/90,528
  6. Step 6: Final answer
    x = 70,081.92

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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.