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Finding the Fourth Proportional to 258,593.15, 356,851.32 and 156,678.95

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Solution

The fourth proportional to 258,593.15, 356,851.32 and 156,678.95 is: 216,212.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    258,593.15 : 356,851.32 = 156,678.95 : x
  2. Step 2: Convert to fraction form
    258,593.15/356,851.32 = 156,678.95/x
  3. Step 3: Cross multiply
    258,593.15x = 356,851.32 × 156,678.95
  4. Step 4: Simplify right side
    258,593.15x = 55,911,090,123.71
  5. Step 5: Solve for x
    x = 55,911,090,123.71/258,593.15
  6. Step 6: Final answer
    x = 216,212.57

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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.