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Finding the Fourth Proportional to 87,007, 130,510.50 and 37,759

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Solution

The fourth proportional to 87,007, 130,510.50 and 37,759 is: 56,638.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    87,007 : 130,510.50 = 37,759 : x
  2. Step 2: Convert to fraction form
    87,007/130,510.50 = 37,759/x
  3. Step 3: Cross multiply
    87,007x = 130,510.50 × 37,759
  4. Step 4: Simplify right side
    87,007x = 4,927,945,969.50
  5. Step 5: Solve for x
    x = 4,927,945,969.50/87,007
  6. Step 6: Final answer
    x = 56,638.50

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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.