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Finding the Fourth Proportional to 97,903.85, 135,038.16 and 83,330.78

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Solution

The fourth proportional to 97,903.85, 135,038.16 and 83,330.78 is: 114,937.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,903.85 : 135,038.16 = 83,330.78 : x
  2. Step 2: Convert to fraction form
    97,903.85/135,038.16 = 83,330.78/x
  3. Step 3: Cross multiply
    97,903.85x = 135,038.16 × 83,330.78
  4. Step 4: Simplify right side
    97,903.85x = 11,252,834,527.37
  5. Step 5: Solve for x
    x = 11,252,834,527.37/97,903.85
  6. Step 6: Final answer
    x = 114,937.62

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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.