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Finding the Fourth Proportional to 108,715.82, 149,888.95 and 70,407.68

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Solution

The fourth proportional to 108,715.82, 149,888.95 and 70,407.68 is: 97,072.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    108,715.82 : 149,888.95 = 70,407.68 : x
  2. Step 2: Convert to fraction form
    108,715.82/149,888.95 = 70,407.68/x
  3. Step 3: Cross multiply
    108,715.82x = 149,888.95 × 70,407.68
  4. Step 4: Simplify right side
    108,715.82x = 10,553,332,301.67
  5. Step 5: Solve for x
    x = 10,553,332,301.67/108,715.82
  6. Step 6: Final answer
    x = 97,072.65

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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.