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Finding the Fourth Proportional to 137,510.64, 206,214.11 and 57,554.15

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Solution

The fourth proportional to 137,510.64, 206,214.11 and 57,554.15 is: 86,309.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,510.64 : 206,214.11 = 57,554.15 : x
  2. Step 2: Convert to fraction form
    137,510.64/206,214.11 = 57,554.15/x
  3. Step 3: Cross multiply
    137,510.64x = 206,214.11 × 57,554.15
  4. Step 4: Simplify right side
    137,510.64x = 11,868,476,931.87
  5. Step 5: Solve for x
    x = 11,868,476,931.87/137,510.64
  6. Step 6: Final answer
    x = 86,309.52

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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.