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Finding the Fourth Proportional to 90,461.71, 124,819.16 and 54,653.70

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Solution

The fourth proportional to 90,461.71, 124,819.16 and 54,653.70 is: 75,411.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    90,461.71 : 124,819.16 = 54,653.70 : x
  2. Step 2: Convert to fraction form
    90,461.71/124,819.16 = 54,653.70/x
  3. Step 3: Cross multiply
    90,461.71x = 124,819.16 × 54,653.70
  4. Step 4: Simplify right side
    90,461.71x = 6,821,829,427.12
  5. Step 5: Solve for x
    x = 6,821,829,427.12/90,461.71
  6. Step 6: Final answer
    x = 75,411.24

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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.