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Finding the Fourth Proportional to 187,440, 258,697.92 and 107,998.08

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Solution

The fourth proportional to 187,440, 258,697.92 and 107,998.08 is: 149,055.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    187,440 : 258,697.92 = 107,998.08 : x
  2. Step 2: Convert to fraction form
    187,440/258,697.92 = 107,998.08/x
  3. Step 3: Cross multiply
    187,440x = 258,697.92 × 107,998.08
  4. Step 4: Simplify right side
    187,440x = 27,938,878,659.99
  5. Step 5: Solve for x
    x = 27,938,878,659.99/187,440
  6. Step 6: Final answer
    x = 149,055.05

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1.5x scale

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.