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Finding the Fourth Proportional to 138,258.19, 207,510.87 and 70,836.16

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Solution

The fourth proportional to 138,258.19, 207,510.87 and 70,836.16 is: 106,317.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,258.19 : 207,510.87 = 70,836.16 : x
  2. Step 2: Convert to fraction form
    138,258.19/207,510.87 = 70,836.16/x
  3. Step 3: Cross multiply
    138,258.19x = 207,510.87 × 70,836.16
  4. Step 4: Simplify right side
    138,258.19x = 14,699,273,189.06
  5. Step 5: Solve for x
    x = 14,699,273,189.06/138,258.19
  6. Step 6: Final answer
    x = 106,317.56

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.