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Finding the Fourth Proportional to 90,087.84, 124,336.68 and 52,384

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Solution

The fourth proportional to 90,087.84, 124,336.68 and 52,384 is: 72,298.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    90,087.84 : 124,336.68 = 52,384 : x
  2. Step 2: Convert to fraction form
    90,087.84/124,336.68 = 52,384/x
  3. Step 3: Cross multiply
    90,087.84x = 124,336.68 × 52,384
  4. Step 4: Simplify right side
    90,087.84x = 6,513,252,645.12
  5. Step 5: Solve for x
    x = 6,513,252,645.12/90,087.84
  6. Step 6: Final answer
    x = 72,298.91

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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.