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Finding the Fourth Proportional to 172,117.55, 258,087.17 and 77,266.02

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Solution

The fourth proportional to 172,117.55, 258,087.17 and 77,266.02 is: 115,859.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    172,117.55 : 258,087.17 = 77,266.02 : x
  2. Step 2: Convert to fraction form
    172,117.55/258,087.17 = 77,266.02/x
  3. Step 3: Cross multiply
    172,117.55x = 258,087.17 × 77,266.02
  4. Step 4: Simplify right side
    172,117.55x = 19,941,368,052.63
  5. Step 5: Solve for x
    x = 19,941,368,052.63/172,117.55
  6. Step 6: Final answer
    x = 115,859.01

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.