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Finding the Fourth Proportional to 187,881.94, 259,271.71 and 107,307.81

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Solution

The fourth proportional to 187,881.94, 259,271.71 and 107,307.81 is: 148,081.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    187,881.94 : 259,271.71 = 107,307.81 : x
  2. Step 2: Convert to fraction form
    187,881.94/259,271.71 = 107,307.81/x
  3. Step 3: Cross multiply
    187,881.94x = 259,271.71 × 107,307.81
  4. Step 4: Simplify right side
    187,881.94x = 27,821,879,395.06
  5. Step 5: Solve for x
    x = 27,821,879,395.06/187,881.94
  6. Step 6: Final answer
    x = 148,081.71

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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.