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Finding the Fourth Proportional to 172,045.05, 258,152.10 and 77,342.13

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Solution

The fourth proportional to 172,045.05, 258,152.10 and 77,342.13 is: 116,051.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    172,045.05 : 258,152.10 = 77,342.13 : x
  2. Step 2: Convert to fraction form
    172,045.05/258,152.10 = 77,342.13/x
  3. Step 3: Cross multiply
    172,045.05x = 258,152.10 × 77,342.13
  4. Step 4: Simplify right side
    172,045.05x = 19,966,033,277.97
  5. Step 5: Solve for x
    x = 19,966,033,277.97/172,045.05
  6. Step 6: Final answer
    x = 116,051.19

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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.