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Finding the Fourth Proportional to 258,053.30, 387,206.76 and 115,998.93

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Solution

The fourth proportional to 258,053.30, 387,206.76 and 115,998.93 is: 174,055.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    258,053.30 : 387,206.76 = 115,998.93 : x
  2. Step 2: Convert to fraction form
    258,053.30/387,206.76 = 115,998.93/x
  3. Step 3: Cross multiply
    258,053.30x = 387,206.76 × 115,998.93
  4. Step 4: Simplify right side
    258,053.30x = 44,915,569,848.77
  5. Step 5: Solve for x
    x = 44,915,569,848.77/258,053.30
  6. Step 6: Final answer
    x = 174,055.40

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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.