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Finding the Fourth Proportional to 187,894.48, 259,294.32 and 103,009.72

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Solution

The fourth proportional to 187,894.48, 259,294.32 and 103,009.72 is: 142,153.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    187,894.48 : 259,294.32 = 103,009.72 : x
  2. Step 2: Convert to fraction form
    187,894.48/259,294.32 = 103,009.72/x
  3. Step 3: Cross multiply
    187,894.48x = 259,294.32 × 103,009.72
  4. Step 4: Simplify right side
    187,894.48x = 26,709,835,300.79
  5. Step 5: Solve for x
    x = 26,709,835,300.79/187,894.48
  6. Step 6: Final answer
    x = 142,153.38

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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.