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Finding the Fourth Proportional to 138,411.51, 207,639.63 and 58,461.50

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Solution

The fourth proportional to 138,411.51, 207,639.63 and 58,461.50 is: 87,701.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,411.51 : 207,639.63 = 58,461.50 : x
  2. Step 2: Convert to fraction form
    138,411.51/207,639.63 = 58,461.50/x
  3. Step 3: Cross multiply
    138,411.51x = 207,639.63 × 58,461.50
  4. Step 4: Simplify right side
    138,411.51x = 12,138,923,969.70
  5. Step 5: Solve for x
    x = 12,138,923,969.70/138,411.51
  6. Step 6: Final answer
    x = 87,701.69

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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.