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Finding the Fourth Proportional to 99,696, 137,581.70 and 57,258.48

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Solution

The fourth proportional to 99,696, 137,581.70 and 57,258.48 is: 79,017.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,696 : 137,581.70 = 57,258.48 : x
  2. Step 2: Convert to fraction form
    99,696/137,581.70 = 57,258.48/x
  3. Step 3: Cross multiply
    99,696x = 137,581.70 × 57,258.48
  4. Step 4: Simplify right side
    99,696x = 7,877,718,731.52
  5. Step 5: Solve for x
    x = 7,877,718,731.52/99,696
  6. Step 6: Final answer
    x = 79,017.40

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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.