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Finding the Fourth Proportional to 187,369.84, 258,564.90 and 102,485.08

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Solution

The fourth proportional to 187,369.84, 258,564.90 and 102,485.08 is: 141,426.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    187,369.84 : 258,564.90 = 102,485.08 : x
  2. Step 2: Convert to fraction form
    187,369.84/258,564.90 = 102,485.08/x
  3. Step 3: Cross multiply
    187,369.84x = 258,564.90 × 102,485.08
  4. Step 4: Simplify right side
    187,369.84x = 26,499,044,461.69
  5. Step 5: Solve for x
    x = 26,499,044,461.69/187,369.84
  6. Step 6: Final answer
    x = 141,426.41

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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.