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Finding the Fourth Proportional to 187,392.70, 258,603.97 and 102,509.76

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Solution

The fourth proportional to 187,392.70, 258,603.97 and 102,509.76 is: 141,464.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    187,392.70 : 258,603.97 = 102,509.76 : x
  2. Step 2: Convert to fraction form
    187,392.70/258,603.97 = 102,509.76/x
  3. Step 3: Cross multiply
    187,392.70x = 258,603.97 × 102,509.76
  4. Step 4: Simplify right side
    187,392.70x = 26,509,430,899.75
  5. Step 5: Solve for x
    x = 26,509,430,899.75/187,392.70
  6. Step 6: Final answer
    x = 141,464.59

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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.