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Finding the Fourth Proportional to 187,410.78, 258,784.47 and 133,860.06

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Solution

The fourth proportional to 187,410.78, 258,784.47 and 133,860.06 is: 184,839.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    187,410.78 : 258,784.47 = 133,860.06 : x
  2. Step 2: Convert to fraction form
    187,410.78/258,784.47 = 133,860.06/x
  3. Step 3: Cross multiply
    187,410.78x = 258,784.47 × 133,860.06
  4. Step 4: Simplify right side
    187,410.78x = 34,640,904,681.27
  5. Step 5: Solve for x
    x = 34,640,904,681.27/187,410.78
  6. Step 6: Final answer
    x = 184,839.45

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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.